Nuala is making a volcano for a science experiment. First, she constructs the cone. The circumference of its base is 125.6 inches. The height of the cone is 33 inches. What is the volume of Nuala's cone? Remember: C= pi x diameter

Answers

Answer 1

Answer:

34072.3 in³

Step-by-step explanation:

Step 1

The circumference of its base is 125.6 inches.

C= pi x diameter

Find the radius of the base

C/ π = Diameter

Diameter = 125.6 in/2

= 62.8 in

Step 2

The height of the cone is 33 inches.

Radius = Diameter/2

Radius = 62.8 in/2

= 31.4 in

Volume of a cone: V = (1/3)πr²h

= 1/3 × π × (31.4)² × 33

= 34072.33162 in³

Approximately = 34072.3 in³

Therefore, the volume of Nuala's cone is 34072.3 in³.


Related Questions

PLEASE HELP!!!! I NEED THE ANSWERS URGENTLY!
Find each missing length. Give all answers in simplest radical form.​​

Answers

Step-by-step explanation:

here's your solution

==> by using Pythagoras theorem

==> base^2 = hypotenuse^2 - perpendicular^2

==> hypotenuse = 18 , perpendicular = 16

==> base^2 = 18^2 - 16^2

==> base^2 = 324 - 256

==> base^2 = 68

==> base = √68

==> base = 8.24

[tex]hope \: it \: helps[/tex]

Select the correct answer.

Answers

Answer:

C. Full of

Step-by-step explanation:

Ous is defined as full of or possessing. An example of ous used as a suffix is in the word "contemptuous," which means full of contempt. Moreover, how does the suffix ous change a word? Adding the suffix -ous A suffix is a letter or a group of letters that can be added to a word to change its meaning.

I hope this helps :3

-ous means "full of".

When someone is courageous, they have a lot of courage

When someone is gracious, they have a lot of grace

Hey can you help me fast!! I will give you a brain list if the Answer is right.

Answers

Do something like this but end at -3 1/4
Which is one dash past -3 towards the -4 I think bc -3 3/4 + 1/2= -3 1/4

Which is closest to the volume of a sphere with a radius equal to 8 centimeters?
Α.
267.9 cm3
B
803.8 cm3
С
1,607.7 cm3
D
2,143.6 cm3

Answers

Answer:

Step-by-step explanation:

volume of sphere = 4πr³/3

= 4π×512/3

≈ 2143.6 cm³

what are the steps when you simplify fractions

Answers

Answer:

The first step is to determine the largest number that evenly divides the numerator and the denominator (also called the Greatest Common Factor of these numbers). In other words, what's the biggest number that goes into '2' (the numerator) and '4', the denominator?

Step 2. Once you've answered step 1 and realized that, for our fraction at least, the greatest number that evenly divides 2 and 4 is '2'. Now divide the top and the bottom by 2 to get your simplified fraction which is ½.

I hope this helps if you have any questions on my answer plz let me know Ty :3

Answer:

find the greatest common factor, then divide the bottom and the top, and you have that as your answer

hope this helps

have a good day :)

Step-by-step explanation:

Which of the following sets of numbers could not represent the three sides of a right
triangle?
{39, 80, 89}
{48, 64,80)
{51,68,85)
{13,48.50)

Answers

Answer:

The answer is (13,48,50)

Select the correct answer.
Which expression is equivalent to 5 log, 2 – log, 4,
OA log, )
O B. log, 28
OC. log, 8
OD. log, 6

Answers

Answer:

OC. log,8

Step-by-step explanation:

5 log,2 -log,4, = 0.903089987

log,8, = same as above

The expression  [tex]5log2-log4[/tex] is equivalent to  [tex]log8[/tex]  which is option c.

What is Log?

A logarithm answers the question "How many of this number do we multiply to get that number?" Example How many 2s must we multiply to get 8 that is 3.

Given,

[tex]5log2-log4[/tex]

= [tex]log2^5-log4[/tex]

= [tex]log32-log4[/tex]

= [tex]log\frac{32}{4}[/tex]

= [tex]log8[/tex]

Hence, the expression  [tex]5log2-log4[/tex] is equivalent to  [tex]log8[/tex] .

Learn more about Log:

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What is 200+199+1+3-94 divided by 11x12(5+3)x(3,540+32130-1

Answers

4279579726820625what the answer is I say just use the calculator

HELP!!!

The coordinates of three vertices of a rectangle are

(-5, 3), (-5, -2), and (2,-2).

(a) What are the coordinates of the fourth vertex? .

(b) What is the area of the rectangle?

Answers

Answer:

a) (3,7) b) 35

Step-by-step explanation:

What numbers go in the blanks to make the equation true?

Answers

Answer:

(2x^2+6x+3)(2x+4)

Step-by-step explanation:

A place from this table is chosen at random. Let event A= the place is a city.
what is P(ac)
A. 3/7
B. 5/7
C. 4/7

Answers

Answer:

4/7

Step-by-step explanation:

ajsgskajsgsujavagajana ahakangssua

The probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.

How to find the probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A place from this table is chosen at random. Let event A= the place is a city.

The total number of places are 7 given in the table.There are total three places which are city. Thus, the probability of a country to be a city is,

[tex]P(A)=\dfrac{3}{7}[/tex]

Now, for its complement, the probability of a place not be a city is,

[tex]P(A^c)=1-\dfrac{3}{7}\\P(A^c)=\dfrac{7-3}{7}\\P(A^c)=\dfrac{4}{7}[/tex]

Thus, the probability of the complement of event A P(Ac), which is the event of a place to not be a city, is 4/7. Option C is correct.

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the length of a rectangle is 15cm and with width is 8cm.

which is the perimeter of the rectangle?

Answers

ANSWER: 46 cm

you have to add all the lengths of the sides together. rectangles have two sets of equal sides. so, 15 + 15 + 8 + 8 = 46cm.

Which equation represents the problem? will choose brainliest

Answers

Answer: it is 3 definitely

Step-by-step explanation:

There are 4 people and each are getting one drink for 1.50 and 3 tacos so it makes sense to do 4 ( 1.50 + 3x ) by the way x stands for the money for the tacos

(36÷? )−(36÷? )=5
Please answer the ? here are the numbers you can only fill them in with 12,8,9, and 4

Answers

Answer:

4 and 9

Step-by-step explanation:

here's how it should be:

(36÷4) - (36÷9)

9 - 4

5

Answer:

(36 ÷ 4) − (36 ÷ 9) = 5

Step-by-step explanation:

To solve, we need to find the quotient of 36 divided by each number listed:

 ║12 ⇒ 36 ÷ 12 = 3

 ║8 ⇒ 36 ÷ 8 = 4.5

 ║9 ⇒ 36 ÷ 9 = 4

 ║4 ⇒ 36 ÷ 4 = 9

So, which of these two numbers can you subtract from each other to get 5?

 ║We can subtract 4 from 9 to get 5.

Therefore, our answer should be:

 ║(36 ÷ 4) − (36 ÷ 9) = 5

please help i need the answer asap ill give brainliest

Answers

80.1 years, im not 100% sure of my answer though

CAN SOMEONE HELP ME I NEED HELP LIKE.... NOW!!!

Answers

Answer:

(x+6)(x+4)

Step-by-step explanation:

Roll the number cube to find the observed frequency. Which statements are true? Check all that apply

Answers

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

[tex]Total = 11 + 16 + 14 + 20 + 12 + 17[/tex]

[tex]Total = 90[/tex]

(a): Relative frequency of 4 is 2/9

Relative frequency is calculated by:

[tex]RF= \frac{Observed\ Frequency}{Total}[/tex]

For roll 4

[tex]Observed\ frequency = 20[/tex]

So, the relative frequency is:

[tex]RF = \frac{20}{90}[/tex]

Simplify

[tex]RF = \frac{2}{9}[/tex]

(a) is true

(b): Experimental probability of 3 greater than its theoretical probability

The experimental probability is its relative frequency;

For roll 3

[tex]Observed\ frequency = 14[/tex]

The experimental probability is:

[tex]Pr = \frac{14}{90}[/tex]

Simplify

[tex]Pr = \frac{7}{45} = 0.156[/tex]

To calculate  the theoretical probability, w have:

[tex]S = \{1,2,3,4,5,6\}[/tex] ---- sample space

[tex]n(S)= 6[/tex]

[tex]n(3) = 1[/tex] --- number of times 3 occur

The theoretical probability is:

[tex]Pr = \frac{1}{6} = 0.167[/tex]

The theoretical probability is [tex]greater\ than\ the[/tex] experimental probability.

(b) is false

(c): Experimental probability of 2 greater than its theoretical probability

Using the explanations in (b), we have:

For roll 2

[tex]Observed\ frequency = 16[/tex]

The experimental probability is:

[tex]Pr = \frac{16}{90}[/tex]

Simplify

[tex]Pr = \frac{8}{45} = 0.178[/tex]

To calculate the theoretical probability, we have:

[tex]n(S)= 6[/tex]

[tex]n(2) = 1[/tex]

The theoretical probability is:

[tex]Pr = \frac{1}{6} = 0.167[/tex]

The experimental probability is [tex]greater\ than\ the[/tex] theoretical probability.

(c) is true

(d): Relative frequency of 5 is 2/13

For roll 5

[tex]Observed\ frequency = 12[/tex]

The relative frequency is:

[tex]RF = \frac{12}{90}[/tex]

Simplify

[tex]RF = \frac{2}{15}[/tex]

(d) is true

Answer:

Person above/under me is incorrect

Step-by-step explanation:

Answer is A and D Because i got their answer wrong

Darla needs to be at her babysitting job at 6:00 pm. It takes her 15 minutes to ride her bike to the job, 25 minutes to eat dinner, and 40 minutes to do her homework. Use the number line to find the time Darla needs to start her homework.

Answers

Answer:

Assuming she has to do all of that before she leaves she needs to start at 4:40pm

Step-by-step explanation:

All of the things needed to do before she leaves equals 80 min and that is 1 hour and 20 min. Subtract that from 6:00pm and you get 4:40pm.

(Ps there is no number line)

Circle a has a center at 2,5 and a raidius of 6 which point is on circle a ?????

Answers

Answer:( -4,5)

Step-by-step explanation:

Since the radius is 6 units, I just went down 6 units from the center.

At the toy store, 4 toy cars cost $3.28. How much does it cost to buy 15 toy cars?
A. $12.30
B. $13.80
C. $11.55
D. $10.80

Answers

A ) $12.30
Each car is .82, I found it by dividing 3.28 by four. Then taking that answer, .82, ands multiplying it by 15

Part A There are 30 students in a class. 17 of the students are boys. What percent of the class are girls. *


Part B If the percentages are the same throughout the grade, how many girls are in the whole seventh grade if there are 150 seventh graders? Please help me answer ;)

Answers

Answer: Part A: 43%

Part B: 65

Step-by-step explanation:

Part A: Since there are 30 students of the class and 17 are boys, there are 13 girls. 13/30 = 43.33 = 43%.

Part B: Since 43% of the class are girls, we do 150*0.43 for the whole 7th grade which is 64.5 which I rounded to 65.

You are road tripping down the California coast and you notice you need to fill up your gas tank. In CA, sales tax is 2.25%. You spend $56.00 to fill up your tank. How much are you paying in sales tax?

Answers

Answer:

$1.26

Step-by-step explanation:

So you just have to find 2.25% of 56.

To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:

2.25% of 56

Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:

2.25% × 56

Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.

2.25% = 0.0225

And now you have:

0.0225 × 56

Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.

But once you multiply 0.0225 × 56, you get an answer: 1.26

Hope this was helpful to you, and don't forget to choose the Brainliest answer!

If possible may someone help me please?

Answers

Answer:

Given, ∠MNP=107 degree.

Therefore, ∠QPN= 107 degree. [as, MN=PQ]

We know, sum of four angles of a quadrilateral is 360 degree.

And as MN=PQ, ∠NMQ=∠MQP.

Therefore, ∠MQP= {360 degree-( 107degree+ 107 degree)}/2

                             =( 360 degree-214 degree)/2

                            = 146 degree/2

                            =73 degree.

hope this will help you.

                           

Step-by-step explanation:

In circle, the measures of arc BC is 47 degree find the measure of arc CAB

Answers

Answer:

313(?)

Step-by-step explanation:

qasxx c.f. tikhg

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

np!

Answer:

B

Step-by-step explanation:

since it is A over H (SohCahToa)

Bo gives 42 pencils to 7 students.
Each student receives the same
number of pencils. Which two
equations could be used to find the
number of pencils each student gets
A 42 = 7=6 and 5 X 7= 35
B 42 = 1 = 42 and 1 X 42 = 42
C 42 - 7 = 6 and 7 X 6 = 42
D 7 X 7 = 49 and 42 - 6 = 7

Answers

Answer:

C

because

[tex]42 \div 7 = 6 \\ 7 \times 6 = 42[/tex]

Tony has 75 dollars to spend on a game controller that costs $35 and used video games
costing 8 dollars each. How many video games can he buy?

Answers

Answer:5 I think

Step-by-step explanation:

75-35=40 40 divided by 8 is 5

Answer:

The answer is 5=x (he is able to buy 5 videogames)

Step-by-step explanation:

First, you need to put this into an equation format with a variable (x) for the videogames. Here is what the equation should look like: 75 = 35 + 8x

75 being the total amount of money he has to spend, 35 being what he had to spend or knows he will spend on the controller, and the 8 is for each videogame. We put an 'x' behind the 8 to signal that we don't know how many games he can buy. So, then we need to solve the equation.

75=35+8x

-35 on both sides

So, 40=8x, then you divide by 8 to get x by itself

5=x

The 'x' in this equation is how many videogames he is able to buy. The way you could check your work is if you plugged 5 back into x. What I mean is this: 35+8(5) needs to equal 75, and it does, so you're good!

the graphs below have the same shape what is the equation of the red graph

Answers

Well , I think it’s c

The equation of the red graph is,

⇒ y = x² + 4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The equation of blue graph is,

⇒ y = x²

Since, We have;

The red graph is 4 unit up from the blue graph.

Hence, The equation of the red graph is,

⇒ y - 4 = x²

⇒ y = x² + 4

Therefore, The equation of the red graph is,

⇒ y = x² + 4

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What is the area of the triangle?​

Answers

Answer:

14

Step-by-step explanation:

so use formula BH/2

so 7x4/2

28/2

area=14

Answer:

14

Step-by-step explanation:

succes

...............

YA
8
P and Q are points on the line 4x + 2y = 8
a) Complete the coordinates of P and Q.
P(o,). Q(,0)
7 키
6|
5
b) Plot points P and Q on the graph.
Use the tool to plot the coordinates.
41
c) Draw the line 4x + 2y = 8 for values
of x from -2 to 3.
21
3 2 1
-3 -2 -1 0
-1
2 3
AX
2
o
No

Answers

Answer:

a) P(0, 2), Q(4, 0)

b) Please find attached the plot of the points P and Q on a chart made with MS Excel

c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel

Step-by-step explanation:

The given equation for the line is 4·x + 2·y = 8

a) The coordinates of P = P(0, _)

Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)

When y = 0 from the given equation, we get;

4·x + 2·y = 8

At the point y = 0;

4·x + 2 × 0 = 8

x = 8/4 = 2

x = 2

∴ The coordinates of P = P(0, _) = P(0, 2)

Similarly, when x = 0, we get;

4·x + 2·y = 8

At the point x = 0;

4 × 0 + 2·y = 8

y = 8/2 = 4

y = 4

∴ The coordinates of Q = Q(_, 0) = Q(4, 0)

b) Rewriting the given equation in terms of 'y' gives;

y = (8 - 4·x)/2 = 4 - 2·x

y = 4 - 2·x

With the help of MS Excel, the points P and Q are plotted in the attached graph

c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.

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