the volume of the cone shown below is 108pie cm^3. What is the value of H?
Use V=1/3PIE r^2 for the volume of a cone

The Volume Of The Cone Shown Below Is 108pie Cm^3. What Is The Value Of H?Use V=1/3PIE R^2 For The Volume

Answers

Answer 1

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

Answer 2

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm


Related Questions

There are risks associated with drinking potable water.


Please select the best answer from the choices provided

Answers

Answer:

Where are the choices? There is no choices

Nafeli is taking a multiple-choice exam with 10 questions and 3 choices per question. For eachquestion, there are two equally likely possibilities, independent of other questions. In the firstpossibility, she knows the answer, in which case she answers the question correctly. In the secondpossibility, she guesses the answer with probability of success 1/3.1. Given that Nafeli answered correctly the first question, what is the probability that she knewthe answer to that question

Answers

Answer:

0.75 = 75% probability that she knewthe answer to that question

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Answered correctly.

Event B: Knew the answer.

Probability of answering correctly:

0.5(knows the answer)

1/3 of 1 - 0.5 = 0.5(didn't know but guessed correctly). So

[tex]P(A) = 0.5 + 0.5\frac{1}{3} = 0.6667[/tex]

Probability of answering correctly and knowing the answer:

0.5, which means that [tex]P(A \cap B) = 0.5[/tex].

What is the probability that she knew the answer to that question?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.6667} = 0.75[/tex]

0.75 = 75% probability that she knewthe answer to that question

What is the value of x?

Answers

Answer:

value we donnot know so we try to find it by equations

Answer:

Any number of possibilities...

Step-by-step explanation:

Hellppppppp pleaseeeeeee

Answers

Answer:

10^9/10^5

Step-by-step explanation:

2^3 = 8 x 2^6= 64 8 x 64 = 512

This is equal 10^9 / 5 ^ 9

If 79.5% of married couple households are both native and 13.2% are both foreign, then (a) what percentage of married couple households are one native, one foreign

Answers

Answer:

The correct solution is "7.3%".

Step-by-step explanation:

It seems that the given question is incomplete. Find below the attachment of the complete and appropriate query.

According to the question,

The total married couples are,

= 55,550,000

where,

Both native = 79.5%

Both foreign = 13.2%

Now,

The percentage of couple that is one native as well as one foreign will be:

= [tex]100-79.5-13.2[/tex]

= [tex]7.3[/tex] (%)

What is the median Value of the data sat shown on the line plot?

Answers

Answer:

6 is the median of the data set.

Step-by-step explanation:

First, write all the numbers out.

1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

Next, highlight the one that is in the middle.

1, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 11

If you have an even amount of numbers, or two numbers in the middle you have to find the mean between those numbers but because they are both 6 the median is still 6.

Have a wonderful day! :)

pls help PLS PLS PLS PLS
20 POINTS

Answers

Answer:

Step-by-step explanation:

X squared over 6

+

2x cubed over 3

Answer:

x^2/6 + 2x^3/3

Step-by-step explanation:

I used (m)athway to simplify the expression

The Goodman Tire and Rubber Company periodically tests its tires for tread wear under simulated road conditions. To study and control the manufacturing process, 20 samples, each containing three radial tires, were chosen from different shifts over several days of operation, with the following results. Tread wear measurements are in hundredths of an inch. Sample Tread Wear 1 31 42 28 2 26 18 35 3 25 30 34 4 17 25 21 5 38 29 35 6 41 42 36 7 21 17 29 8 32 26 28 9 41 34 33 10 29 17 30 11 26 31 40 12 23 19 25 13 17 24 32 14 43 35 17 15 18 25 29 16 30 42 31 17 28 36 32 18 40 29 31 19 18 29 28 20 22 34 26 Assuming that these data were collected when the manufacturing process was believed to be operating in control, develop the R chart. Compute the upper and lower control limits for the R chart. (Round your answers to two decimal places.) UCL = LCL =

Answers

Answer:

LCL = 4.72

UCL = 18.08

Step-by-step explanation:

Sample size, n = 20

Sample _ tread wear, x __ Range

1 ______ 33.67 ___ 14

2______ 26.33 ___ 17

3 _____ 29.67 ____ 9

4 ______ 21 ______ 8

5 ______ 34 ______ 9

6 ______ 39.67 ___ 6

7 ______ 22.33 ___ 12

8 ______ 28.67 ___ 6

9 ______ 36 ______8

10 _____ 25.33 ___ 13

11 _____ 32.33 ____14

12 _____ 22.33 ___ 6

13 _____ 24.33 ___ 15

14 _____ 31.67 ___ 26

15 _____ 24 _____ 11

16 ____ 34.33 ____ 12

17 ____ 32 _______ 8

18 ____ 33.33 ____ 11

19 ____ 25 _______11

20 ___ 27.33 _____12

Sample mean, xbar = Σx / n = 29.167

Rbar = ΣR/ n = 11.4

The R chart control limit is given by :

Rbar(1 - 3(d3/d2))

From the R chart :

d3 = 0.729 ; d2 = 3.735

Hence,

LCL = 11.4(1 - 3(0.729/3.735))

LCL = 11.4(0.4144578) =

LCL = 4.72481892 = 4.72

UCL = 11.4(1 - 3(0.729/3.735))

UCL = 11.4(1.5855421)

UCL = 18.075180 = 18.08

please solve it CORRECTLY step by step asap​

Answers

Answer:

[tex]Product = \frac{3}{5}ab[/tex]

Step-by-step explanation:

Given

[tex]-\frac{3}{7}a[/tex]

[tex]-\frac{21}{15}b[/tex]

Required

The product

The product is:

[tex]Product = -\frac{3}{7}a * -\frac{21}{15}b[/tex]'

Cancel out the negative signs

[tex]Product = \frac{3}{7}a * \frac{21}{15}b[/tex]

Simplify fractions

[tex]Product = \frac{1}{7}a * \frac{21}{5}b[/tex]

[tex]Product = \frac{1}{1}a * \frac{3}{5}b[/tex]

[tex]Product = \frac{3}{5}ab[/tex]

It is estimated that 52% of drivers text while driving.
A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?
B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?

Answers

Answer:

a) 0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers

b) 0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.

Step-by-step explanation:

For each driver pulled, there are only two possible outcomes. Either they are texting, or they are not. The probability of a driver being texting is independent of any other drivers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is estimated that 52% of drivers text while driving.

This means that [tex]p = 0.52[/tex]

A. What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers?

This is [tex]P(X = 3)[/tex] when [tex]n = 5[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.52)^{3}.(0.48)^{2} = 0.324[/tex]

0.324 = 32.4% probability that exactly 3 drivers text while driving if a police officer pulls over five drivers.

B. What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver?

None of the first four([tex]P(X = 0)[/tex] when [tex]n = 4[/tex]), and then the fifth, with 52% probability. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.52)^{0}.(0.48)^{4} = 0.0531[/tex]

0.0531*0.52 = 0.0276

0.0276 = 2.76% probability the next driver texting while driving that the police officer pulls over is the fifth driver.

Use Euler's formula to find the missing number.
Vertices: 23
Edges: 39
Faces: ?

A. 12
B. 14
C. 16
D. 18

Answers

Answer: D. 18

Step-by-step explanation:

Euler's formula is Faces + Vertices = Edges + 2

Faces = Edges - vertices + 2

Faces = 39-23 + 2 = 18

Euler's formula is given by the formula F + V = E + 2. The number of faces in the given object is 18.

What is Euler's Formula?

Euler's formula is given by the formula F + V = E + 2, in which F is the number of faces, V is the number of vertices, and E is the number of edges. For instance, a cube fits this formula since it has 6 faces, 8 vertices, and 12 edges.

The number of vertices and edges in the object is 23 and 39, respectively. Therefore, using Euler's formula the number of faces can be written as,

F + V = E + 2

F + 23 = 39 + 2

F = 39 + 2 - 23

F = 18

Hence, the number of faces in the given object is 18.

Learn more about Euler's Formula here:

https://brainly.com/question/6459192

#SPJ2

True or False: A square is a specific type of parallelogram?

Answers

false, they are both quadrilaterals though.

20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?

Answers

Answer: b

Step-by-step explanation:

QUICK PLZ really need help plz help

Answers

D and E.............

One cup of popcorn kernels makes four cups of popped corn. There are eight cups of kernels in a bag. How many cups of popped corn will one bag of kernels make?​

Answers

Answer:

32

Step-by-step explanation:

so because there is 1 cup of  kernels which makes 4 cups of pop corn and there are 8 cups of crenels you would multiply 8 and 4.

Show all steps 2a=22

Answers

Answer:

Hello! answer: a = 11

Step-by-step explanation:

2 × 11 = 22 So therefore a = 11 HOPE THAT HELPS!

5 liters of water weighs 11 pounds. A bucket contains 143 pounds of water. How many liters of water are in the bucket

Answers

Answer:

65 liters

Step-by-step explanation:

11/5=2.2

143/2.2=65

(√2)^3
[tex] (\sqrt{2) {?}^{3 \\} [/tex]

Answers

[tex]\sf \left(\sqrt{2}\right)^3\\\\\\\\\boxed{\sf \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}}\\\\\\\\\sf \left(2^{\frac{1}{2}}\right)^3\\\\\\\\\boxed{\sf\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} }\\\\\\\\\sf \sf 2^{\frac{1}{2}\cdot \:3}\\\\\\\\\sf 2^{\frac{3}{2}}\\\\\\\\\sf 2^{\frac{3}{2}}=2^{1+\frac{1}{2}}\\\\\\\\\sf 2^{1+\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Apply\:exponent\:rule}:\quad \:x^{a+b}=x^ax^b}\\\\\\\\\sf[/tex]

[tex]\sf 2 ^1\cdot \:2^{\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Refine}}\\\\\\\\\boxed{\sf =2\sqrt{2}}[/tex]

What is the opposite of dividing by 19? A. multiplying by 19 B. subtracting 19 C. dividing by 19 D. adding 19​

Answers

A) multiplying by 19.

¿Qué es el Círculo Unitario​

Answers

Answer:

In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin in the Cartesian coordinate system in the Euclidean plane.

Step-by-step explanation:

Answer:

El círculo unitario se divide en 4 partes, denominadas cuadrantes. El primer cuadrante (I) está formado por los ejes xey positivos. El primer cuadrante (I) está formado por los ejes xey positivos. Si dibujamos cualquier radio del círculo unitario en el primer cuadrante, el ángulo con el eje x positivo puede tener cualquier valor entre 0 y 90 °.

Find the mode of the data. 65, 65, 60, 62, 60, 69, 60, 68, 63, 66 mode =​

Answers

Answer:

60

Step-by-step explanation:

The mode is the value which occurs the most in the set. We see that 60 occurs three times, 62 occurs once, 63 occurs once, 65 occurs twice, 66 occurs once, 68 occurs once, and 69 occurs once.

Thus, the mode is 60.

Answer:

The mode is 60

Step-by-step explanation:

The mode is the number that appears most in the set of data. 60 appears the most, appearing 3 times.

In the diagram below, line MN is a perpendicular bisector. Which of the following is true?
1. MT=MN
2.MS=MN
3.MT=MS
4.MN=QN

Answers

Answer:

MT is congruent to MS

Step-by-step explanation:

Answer:

[tex]MT[/tex]≅[tex]MS[/tex]

Step-by-step explanation:

Because line MN is a perpendicular bisector, and point on the bisector will be equidistant from the end points of the segment it bisects.

1 point
5. Aaron drew a map showing the locations of two cities, Oden and Lundy,
on a grid. Aaron drew a straight line from Oden to Lundy. Which of the
following is closest to the distance between Oden and Lundy along the
straight line? *
Please help quickly!!

Answers

Answer:

10 miles

Step-by-step explanation:

Given

The attached grid

Required

The distance between Oden and Lundy

See attachment for modified grid

From the newly attached grid, we have:

[tex]d^2 = 6^2 + 8^2[/tex] ---- Pythagoras theorem

This gives:

[tex]d^2 = 36 + 64[/tex]

[tex]d^2 = 100[/tex]

Take positive square roots of both sides

[tex]d = \sqrt{100[/tex]

[tex]d = 10[/tex]

Hence, the distance is 10 miles

Applicants for the University of Statland take two tests, one for writing ability and the other on critical thinking, and normalised scores are recorded on each between 0 and 1. For a given applicant, let XX be the score on the writing test and YY the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as:

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer :   1

Step-by-step explanation:

Given Function:

F(x,y)=[tex]\left \{ {{1/4(2x+y)} \atop {0}} \right.[/tex]      for    0<x<1, 0<y<2

                                            elsewhere.

Evaluating the marginal density of the writing test score at point

X = 1/2  = 1/4 ( 4x + 2 ) = 1/4 ( 4 * 1/2 + 2 ) = 1

attached below is the detailed solution

pls answer quick, I need an answer.
Steve bought a triangular mat to cover a corner of his room.

Answers

24 square feet

Triangle = 1/2 base x height
= 1/2 x 8 x 6
= 24

How do you write the inverse of the conditional statement belo "'If m<1 = 60°, then <1 is acute. " If m<1 = 60° then <1 is not acute. b If <1 is not acute, then m<1 = 60°. If <1 is acute, then m<1 = 60°. If m <1 = 60° then <1 is not acute.​

Answers

Answer:

d

Step-by-step explanation:

The inverse of a conditional statement, makes both the hypothesis and conclusion or "p" and "q" negative. In other words, it adds a not to both sides.

So the inverse of "If p, then q" would be "If not p, then not q."

"If the measure of angle 1 does not equal 60 degrees, then angle 1 is not acute."

Which of the following is the domain
of the given relation?
{(-6, 3), (-4, 5), (0, 0)
A {0. -4,-6)
B {0. 3. 5)
C {3, 4, 0}
D {-6 -4,5)

Answers

Answer:

[tex]A.[/tex]

[tex]Domain = \{-6,-4,0\}[/tex]

Step-by-step explanation:

Given

[tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]

Required

The domain

A function is represented as:

[tex]\{(x_1,y_1), (x_2,y_2), ....... (x_n,y_n)\}[/tex]

Where the domain is: [tex](x_1,x_2,....,x_n)[/tex]

So, in [tex]\{(-6, 3), (-4, 5), (0, 0)\}[/tex]

The domain is:

[tex]Domain = \{-6,-4,0\}[/tex]

how to find the length of EF?

Answers

[tex]CD = \frac{HG + EF}{2} \Leftrightarrow EF = 2CD - HG[/tex]

[tex]2x - 2 = 2x - x + 3\\2x - 2x + x = 3 + 2\\x = 5[/tex]

[tex]EF = 2 * 5 - 2 = 10 - 2 = 8[/tex]

Answer: 8.

Answer:

EF=8

Step-by-step explanation:

HG=x-3

CD=x

EF=2x-2

Since HG is 3 less than CD, EF has to be 3 more than CD

x+3=2x-2

3+2=2x-x

5=x

x=5

HG=2

CD=5

EF=8

are these proportional or no

Answers

Answer:

The 2nd box is the 1st box is not

Step-by-step explation:

it just is thi sway

Answer:

nooe!

Step-by-step explanation:

the first set ads up to 133/120 whike the second ads up to 2 so they aren't :)

It is known that when a specific type of radish is grown in a certain manner without fertilizer the weights of the radishes produced are normally distributed with a mean of 40g and a standard deviation of 10g. When the same type of radish is grown in the same way except for the inclusion of fertilizer, it is known that the weights of the radishes produced are normally distributed with a mean of 140g and a standard deviation of 40g. Determine the proportion of radishes grown

Answers

Answer: hello your question is incomplete below is the missing part

Determine the proportion of radishes grown without fertilizers with weight less than 50grams

answer : p( x < 50 ) = 0.84

Step-by-step explanation:

Radish grown in without fertilizers ( normally distributed )

mean = 40 g

standard deviation = 10 g

Radish grown with fertilizers ( normally distributed )

Mean = 140 g

standard deviation = 40 g

Determine the proportion of radishes grown without fertilizers with weight less than 50 grams

lets assume x = radish without fertilizers

                    y = radish with fertilizers

hence

p( x < 50 )  = P (  (x-μ / б)  < [tex]\frac{50-40}{10}[/tex]  )

                  = p ( z < 1 ) = 0.5 + p ( 0 < z < 1 )

                                   p( x < 50 ) = 0.5 + 0.3413 = 0.8413

attached below is the distribution related to this solution

Other Questions
What is 716 x 5 x 10?A. 3,500B. 3,580C. 35,000D. 35800 Which research strategy helps you limit the scope of your searching?generating multiple search termsreading all sections of every websitestarting with a research questioncreating a concept or mind map complete the sentence If the monopolist can engage in perfect price discrimination, what is the marginal revenue from selling the 5th shirt the solutions of the equation x^2-6x+4=0 Please select the word from the list that best fits the definitionThough he died along the way, Magellan is credited for leading the first ____ of the world. What Energy transformation occurs when gasoline burns in an automobile 1. Using any illegal drug.USE? MISUSE? ABUSE?2. Taking your own prescription properly for StrepThroat.3. Measuring a liquid medication with a kitchen spoon4. Taking a medicine past the expiration date byaccident.5. Taking a medication your doctor recommended.6. Underage vaping or drinking. What is the common difference for this arithmetic sequence?45, 39, 33, 27, 21, ... A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cmFind the value of h.(The volume, V, of a sphere with radius r is V=4/3pie r^3) Sarah buys 500 shares of stock at $18 and sells the holding for a capital gain of $3,000. What was the share price at the time of the sale? 4(8x1) = 19+32xI need help with a question I am kinda stuck on please someone help and please give me some steps for it at least some. HELP PLZZZ I will give brainliest to who ever helps me the fastest plzzzzzzzz. When thinking about impression management, what does a high self monitor do?a)They try to get people to see them in a positive lightb)They change their behaviour to suit their audience or situationc)They use inner beliefs and values in deciding how to behaved)All of the answers are correctcan you help answer this multiple choice question? only one answer should be correct. 50 POINTS!! Geometry!! Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest. Need help brainliest Using the table below, calculate the average rate of change over the interval [-1, 1).1-2-1-1-20-12CA. 4 .-4OC. -2thingD. 2 Which has a competitive admissions policy?O A. Four-year collegesO B. Vocational schoolsO C. ApprenticeshipsO D. Two-year colleges 7 in.15 in.7 in.8 in.7 in.14 in.What is the total volume of the figure?