The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder th
has the same base and height as the cone?

Answers

Answer 1

Answer:

The volume of the cylinder is 900 cubic inches

Step-by-step explanation:

Given

Let V1 represent the volume of a cone and V2 represents the volume of a cylinder

[tex]V_1 = 300in^3[/tex]

Required

Determine the volume of a cylinder with same dimension

The volume of a cone is calculated as:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

The volume of a cylinder is calculated as:

[tex]V_2 = \pi r^2h[/tex]

Since, the cone and cylinder have the same dimensions, we can substitute [tex]\pi r^2h[/tex] for [tex]V_2[/tex] in [tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

So, we have:

[tex]V_1 = \frac{1}{3} * V_2[/tex]

Multiply both sides by 3

[tex]3 * V_1 = \frac{1}{3} * V_2 * 3[/tex]

[tex]3 * V_1 = V_2[/tex]

[tex]V_2 = 3 * V_1[/tex]

Substitute [tex]300in^3[/tex] for [tex]V_1[/tex]

[tex]V_2 = 3 * 300in^3[/tex]

[tex]V_2 = 900in^3[/tex]

Hence, the volume of the cylinder is 900 cubic inches


Related Questions

Can anyone please help FAST! I’m looking for the correct answer and how you explain it! I’ll mark brainlist please and thank you!

Answers

1a. Y = mx + b
Y = 2x + b
-2 = 2(5) + b
-2 = 10 + b, b = 12
Equation: y = 2x + 12

1b. Standard form: Ax + By = C
subtract 12 and y from both sides
2x - y = -12
Equation: 2x - y = -12

Answer:

Part 1: y=2x-12

Part 2: 12=2x-y

Step-by-step explanation:

Given Information:

m (slope) = 2

There is a point: (5, -2)

PART 1

Solution: Use the formula:  [tex]y=m(x-x_{1} )+y_{1}[/tex]

y=2(x-(5))+(-2)

y=2x-10-2

y=2x-12

PART 2

y=2x-12         (from part 1)

0=2x-y-12      

12=2x-y

Which of the following is not an example of using the distributive property to multiply 12 times 22?
O 12(20 + 2)
o 22(10 + 2)
O 10(2.22)

Answers

the last answer 10(2.22)

Answer:

The third one.

Step-by-step explanation:

Both A and B are correct and should give you the same answer when you apply the distributive property.

12 * 20 + 2 * 12  = 240 + 24 = 264

22(10) + 22*2 = 220 + 44 = 264

The third one just give anything near 264.

3(2^2x+3)-5(2^x+2)-156=0 in logarithm form

Answers

Answer:12x-157-5.2x

Step-by-step explanation:Like this or you want us to solve it lol

The given equation can be written in logarithmic form as  xlog(2) + log(3 × 2ˣ - 5) = log(157).

What is Logarithm?

Logarithm function is defined as the inverse of the exponential function.

If a^(b) = c, then b = log(c) at the base of a.

Logarithm of any number is always positive.

For negative numbers, the logarithm are complex numbers.

The given equation is [tex]3(2^{2x}+3)-5(2^{x} + 2)-156 = 0[/tex]

Suppose 2ˣ be t, then the equation can be rewritten as,

3(t² + 3) - 5(t + 2) - 156 = 0

⇒ 3t² - 5t = 157

⇒ t(3t - 5) = 157

Take logarithm both sides to get,

log(t(3t - 5)) = log(157)

Use the property log(ab) = log(a) + log(b) to get,

log(t) + log(3t - 5) = log(157)

Substitute t = 2ˣ as and apply log(aⁿ) = nlog(a) as,

xlog(2) + log(3 × 2ˣ - 5) = log(157)

Hence, the logarithm form of the given equation is obtained as xlog(2) + log(3 × 2ˣ - 5) = log(157).

To know more about logarithm click on,

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the sum of two numbers is 45 and the different is 21.what are the numbers

Answers

a + b = 45
a - b = 21
a = 21 + b
Use substitution
21 + b + b = 45
2b = 24
b = 12
45 - 12 = 33
The numbers are 33 and 12

Due today at 12:59!!!!!

Answers

Answer: Im confused?

Step-by-step explanation:

Sally walks away from her
house. She walks 25 m west
then 15 m south. How far, in
meters, is she from her house?

Answers

Answer:

40 meters

Step-by-step explanation:

40 meters away from her house

A graphic designer worked 20 hours last week. Their hourly rate is 19.52 per hour. How much money did they make last week before taxes

Answers

Answer:

20 * 19.52 = 390.40

Thank you and please rate me as brainliest as it will help me to level up

how do you solve this? ​

Answers

Answer:

i have no idea.....

Step-by-step explanation:

Answer:

sin(5x)

Step-by-step explanation:

Recall that the half angle identity relates the sine of half an angle to the square root of one minus the cosine of the angle as shown below:

[tex]sin(\frac{\theta}{2} )=+/-\sqrt{\frac{1-cos(\theta)}{2} }[/tex]

therefore, in our case:

[tex]sin(5\,x )=+/-\sqrt{\frac{1-cos(10\,x)}{2} }[/tex]

so, make sure you type the expression : "sin(5x)" in the provided text-box.

Multiplying and Dividing Radicals

Simplify the following expressions.

Answers

the answer is 14. your welcome :)

Choose the graph that matches the inequality ­ y < –2x + 4.

Answers

Answer:

C

Step-by-step explanation:

You know that if its < or >, the line is - - - -, not a fully dark line.

So it would be either A or C

Plot in some numbers for x

Less than would be to the left.

So it wouldn't be A, leaving us with C

Answer:

I belive this would be C

Step-by-step explanation:

Change the radical √5/√8


into simplest radical form a/b √c, where a, b, and c are all integers.

Answers

Answer:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{5}}{\sqrt{8}}[/tex]

Required

Express in its simplest form

To do this, we simply radicalize the given expression by multiplying the expression by the denominator over the denominator.

In other words:

[tex]\frac{\sqrt{5}}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}[/tex]

[tex]\frac{\sqrt{5}*\sqrt{8}}{\sqrt{8}*\sqrt{8}}[/tex]

[tex]\frac{\sqrt{40}}{\sqrt{64}}[/tex]

Take positive square root

[tex]\frac{\sqrt{40}}{8}[/tex]

Express 40 as 4 * 10

[tex]\frac{\sqrt{4*10}}{8}[/tex]

[tex]\frac{\sqrt{4}*\sqrt{10}}{8}[/tex]

[tex]\frac{2*\sqrt{10}}{8}[/tex]

Simplify:

[tex]\frac{1*\sqrt{10}}{4}[/tex]

[tex]=\frac{1}{4}\sqrt{10[/tex]

Hence:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

Let f(x) = 5x + 4 and g(x) = x2 - 4. Find the following.
(gof)(-2)

Answers

Answer:

(g ○ f)(-2) = 32

Step-by-step explanation:

Given

[tex]f(x)=5x+4[/tex]

[tex]g\left(x\right)=x^2-4[/tex]

We have to evaluate (g ○ f)(-2), so first we will evaluate f(-2) then use this value to evaluate g(x).

Finding f(-2)

[tex]f(x)=5x+4[/tex]

[tex]f(-2) = 5(-2)+4[/tex]

          [tex]= -10 + 4[/tex]

          [tex]= -6[/tex]

Then

[tex]g\left(-6\right)=\left(-6\right)^2-4[/tex]

          [tex]=36-4[/tex]

          [tex]= 32[/tex]

Therefore,

(g ○ f)(-2) = 32

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Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Please help ASAP!!!!!!

Answers

9514 1404 393

Answer:

  a) correct

  b) needs parentheses: -1, (1±i√2)/3

Step-by-step explanation:

a) You can factor by grouping:

  (x³ -2x²) -(5x -10) = x²(x -2) -5(x -2) = (x² -5)(x -2)

Roots are ±√5, 2.

__

b) The sum of odd-degree coefficients is equal to the sum of even-degree coefficients (3-1 = 1+1), so one root is x=-1. Factoring out that leaves the quadratic factor ...

  3x³ +x² -x +1 = (x +1)(3x² -2x +1)

The quadratic formula can be used on the quadratic factor to find its roots:

  x = (-(-2) ±√((-2)²-4(3)(1)))/(2(3)) = (2 ±√-8)/6 = (1 ±√-2)/3

Roots are -1, (1 ±i√2)/3.

(10 points)determine which one is an right angle

Answers

Answer:

Number 7.

since it makes an L shape, and has a 90° angle

Two pounds of grapes costs $6 as shown in the table. At this rate, how much does 1 pound of grapes cost?

Answers

Answer:

1 pound of grapes cost 3$

Step-by-step explanation:

If 2 pounds of grape cost 6$ then 1 pound of grape cost 3$ Since 1 is half of 2 and 3 is half of 6

1.The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000. What is the probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?The mean of the sampling distribution of sample of means is $52,000 or $54,000 and the standard deviation is Select an answer $625 or $5000 . 2, The z-score for this problem is Select an answer .4 or -.4 or 3.2 or -3.2 . 3.What is the probability of that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?A) .0007B) .9993C) .3446D) .6554

Answers

Answer:

1

Step-by-step explanation:

The value of z-score will be –0.4. Then the correct option is B. The probability will be 0.34458. Then the correct option is C.

What is the z-score?

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000.

The probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000 will be

The mean of the sampling distribution of sample of means is $54,000 and the standard deviation is select an answer $5000.

Then the z-score will be

z = (52000 – 54000) / 5000

z = –2000 / 5000

z = –0.4

Then the correct option is B.

Then the probability will be

P(x < 52000) = P(z < 0.-4)

P(x < 52000) = 0.34458

Then the correct option is C.

More about the z-score link is given below.

https://brainly.com/question/15016913

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Add simplify the answer and write it as a mixed number 7 3/7 + 3 3/5

Answers

You should first make 7 3/7 and 3 3/5 into improper fractions that would be 52/7 and 18/5 then we can add but we have to make them equivelent in order to do so.  

52/7 = 260/35

18/5 = 126/35

Add 260 and 126 and we will get 386/35 but remember we still have to make it a mixed number so we finally get the answer of 11 1/35

Step 3 out of 5:
Multiply
7/3 times 3/2=

7/3 times 1/2=

Answers

The answers are 7/2 and 7/6

Answer:

Input Data :

Fraction A = 8383

Fraction B = 7272

Objective :

Find the product of fractions?

Formula :

Solution :

83×7283×72 = ?

Mutiply both numerators & denominators

83×7283×72= 8×73×28×73×2 = 566566

Simplify above fraction 566566

Common divisor of (56, 6) is 2

Divide both numerator & denominator by gcd value 2

566=56÷26÷2=283566=56÷26÷2=283

83×72=283

In what layer are convection currents found?

Continental crust
Inner core
Asthenosphere
Oceanic crust

Answers

I did this to and got it right so I would think C

Answer:

c

Step-by-step explanation:

3{[3(9 – 2)] + [7(8 – 1)]}

Answers

the answer is 210 i think

A rectangular poster is 50 cm long and 25 cm wide. If 1 cm is approximately .4 inches What is the perimeter of the poster

Answers

It will be 600in or 150cm.
Reason is perimeter is just adding up the sides so if you wanna find it in inches then you multiply 4 by each side and if it’s just cm then just add them all up

Can someone help me solve 1+1????

Answers

The answer is 2 my dear friend

Which triangle is a translation of the orange triangle?

Answers

Answer:

5,6 meaning the answer is 4

Step-by-step explanation:

Angle measures and segment lengths. Algebra Find the value of each variable.

Answers

Answer:

x = 60°

Step-by-step explanation:

According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs  that are intercepted.

Therefore:

[tex] x = \frac{1}{2}(360 - 120) - 120) [/tex]

[tex] x = \frac{1}{2}(240 - 120) [/tex]

[tex] x = \frac{1}{2}(120) [/tex]

x = 60°

A gallon of water weighs 8.34 pounds. The Rhoads family has a round, 12-foot diameter, above-ground pool. How much weight is added to the pool when it is filled with 3, 205 gallons of water?

Answers

Answer:

The amount of weight added is 26,729.7 pounds

Step-by-step explanation:

Here, we are told that a gallon of water weighs 8.34 pounds

Now, we want to find the weight of 3,205 gallons of water

Mathematically, that would be;

3,205 * 8.34 = 26,729.7 pounds

Brainliest PLZ HELP!!! Explain 36. ABC is an isosceles triangle with vertex angle B. AB = 5x – 28, AC = x+5 and BC = 2x + 11. Find
the length of the base.
a. 13
b. 37
c. 18
d. 39

Answers

Answer:

the answer is 37

take any 2 sides and equate it

then u will get the value of x then then take the aside and put the value of x u will get the answer

The Point (0,0) is a solution to which of these inequalities?

Answers

Answer:

(0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

Step-by-step explanation:

Given the point (0, 0)

a)

Putting the point (0, 0) the inequality

y+4 < 3x-1

0+4 < 3(0)-1

4 < -1

This is false as -1 can not be greater than 4

b)

y-1 < 3x-4

Putting the point (0, 0) the inequality

0-1 < 3(0)-4

-1 < -4

This is false as -1 can not be lesser than -4

c)

y-4 < 3x-1

Putting the point (0, 0) the inequality

0-4 < 3(0)-1

-4 < -1

This is true as -4 is lesser than -1

d)

y+4 < 3x+1

Putting the point (0, 0) the inequality

0+4 < 3(0)+1

4 < 1

This is false as 4 can not be lesser than 1

Therefore, (0, 0) s the solution of y-4 < 3x-1 as it satisfies the inequality.

Hence, option C is true.

25 POINTS! factor the trinomial:[tex]x^2-2x-2[/tex]

Answers

( x − 1 + i ) ( x − 1 − i )

Step-by-step explanation:

_____________ (x-1+i)(x-1-i)

3. Repeat this process to find the width and height of a newer 48-inch television whose

screen has an aspect ratio of 16:9.

Do not include units in your answer - write only the Mumber rounded to the nearest tenth

What is the height?

Answers

Answer:

23.5"

Step-by-step explanation:

Please see attached a sketch of the television

the size of a television is described by the length of its diagonal in inches.

in this case, the diagonal of the television is 48"

we are told that the aspect ratio is 16:9

hence the dimension of the television as seen from the draft is

length= 16x

height=9x

Applying Pythagoras theorem

(16x)^2+(9x)^2= 48^2

256x^2+81x^2=2304

337x^2=2304

divide both sides by 337 we have

x^2=2304/337

x^2=6.8367

x=√6.8367

x=2.6

What is the height

H=9x

=9(2.6)

=23.5"

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