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High School Math : Pre-Algebra

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Example Questions

Example Question #5 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$53\pi$

$56\pi$

$63\pi$

$189\pi$

$16\pi$

Correct answer:

$63\pi$

Explanation:

When you think of volume, think of it as a stack of something. A cube is a stack of squares. A cylinder is a stack of circles. That means that the volume of a cylinder will be the area of that circle times the height, or $V=(\pi r^2)*h$ .

Plug in our given values to solve:

$V=(\pi r^2)*h$

$V=(\pi 3^2)*7$

$V=9\pi*7$

$V=63\pi$

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Example Question #2 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$12.5\pi$

$20\pi$

$12\pi$

$50\pi$

$25\pi$

Correct answer:

$50\pi$

Explanation:

Plug in our given values to solve:

$V=(\pi r^2)*h$

$V=(\pi 5^2)*2$

$V=25\pi*2$

$V=50\pi$

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Example Question #7 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the radius of a cylinder with a volume of $128\pi$ and a height of ?

Possible Answers:

Correct answer:

Explanation:

Plug in our given values to solve:

$V=(\pi r^2)*h$

$128\pi=(\pi r^2)*8$

Divide both sides by .

$\frac{128\pi}{8}=\pi r^2$

$16\pi=\pi r^2$

Divide both sides by $\pi$ .

16=r^2

Take the square root of both sides:

$\sqrt{16}=\sqrt{r^2}$

4=r

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Example Question #8 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$45\pi$

$18\pi$

$54\pi$

$36\pi$

$14\pi$

Correct answer:

$54\pi$

Explanation:

When thinking about volume, think of it as a stack of something. In this case, a cylinder is a stack of circles. We want the area of the bottom circle times the height, or $V=(\pi r^2)*h$ .

Plug in our given information and solve:

$V=(\pi*3^2)*6$

$V=9\pi*6$

$V=54\pi$

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Example Question #9 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$16\pi$

$40\pi$

$20\pi$

$100\pi$

$80\pi$

Correct answer:

$80\pi$

Explanation:

When thinking about volume, think of it as a stack of something. In this case, a cylinder is a stack of circles. We want the area of the bottom circle times the height, or $V=(\pi r^2)*h$ .

Plug in and solve:

$V=(\pi r^2)*h$

$V=(\pi 4^2)*5$

$V=16\pi*5$

$V=80\pi$

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Example Question #10 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$40\pi$

$0.4\pi$

$20\pi$

$100\pi$

$200 \pi$

Correct answer:

$40\pi$

Explanation:

When thinking about volume, think of it as a stack of something. In this case, a cylinder is a stack of circles. We want the area of the bottom circle times the height, or $V=(\pi r^2)*h$ .

Plug in and solve:

$V=(\pi r^2)*h$

$V=(\pi 2^2)*10$

$V=4\pi*10$

$V=40\pi$

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Example Question #801 : High School Math

What is the volume of a cylinder with a radius of and a height of ?

Possible Answers:

$100\pi$

$1000\pi$

$100\pi^2$

$\pi$

$10,000\pi$

Correct answer:

$1000\pi$

Explanation:

The formula for the volume of a cylinder is the area of the base circle times the height, or $V=\pi r^2*h$ .

Plug in our given info to solve.

$V=\pi r^2*h$

$V=\pi 10^2*10$

$V=100\pi*10$

$V=1000\pi$

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Example Question #11 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a circle radius of and a length of ?

Possible Answers:

$V=1344\pi$

$V=578\pi$

$V=893\pi$

$V=85\pi$

Correct answer:

$V=1344\pi$

Explanation:

To find the volume of a cylinder we must know the equation for the volume of a cylinder, which is .

In this example, the length is and the radius is , so our equation will look like this: $V=(8^{2})(21)(\pi)$

We then square the to get $8^{2}=64$ .

Then perform multiplication to get $V=1344\pi$ .

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Example Question #11 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cylinder with a circular side with a radius of and a length of ?

Possible Answers:

$V=2156\pi$

$V=616\pi$

$V=308\pi$

V=308

Correct answer:

$V=2156\pi$

Explanation:

To find the volume of a cylinder we must know the equation for the volume of a cylinder which is

In this example the length is and the radius is so our equation will look like this

$V=7^{2}(\pi)(44)$

We then square the to get

$V=(49)(\pi)(44)$

Then perform multiplication to get $V=2156\pi$ .

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Example Question #14 : How To Find The Volume Of A Cylinder In Pre Algebra

What is the volume of a cone with a circle radius of and a height of ?

Possible Answers:

$V=392\pi$

$V=168\pi$

$V=49\pi$

$V=1176\pi$

Correct answer:

$V=392\pi$

Explanation:

To find the volume of a cone we must use the equation

We must first solve for the area of the circle using r=7 .

The equation for the area of a circle is

We plug in and square it to get

$A=49\pi$

We then plug our answer into the equation for the cone with h=24 to get

$V=\frac{1}{3}\cdot (49\pi)\cdot (24)$

We multiply to get our final answer for the volume of the cone

$V=392\pi$

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High School Math : Pre-Algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #5 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #2 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #7 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #8 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #9 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #10 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #801 : High School Math

Example Question #11 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #11 : How To Find The Volume Of A Cylinder In Pre Algebra

Example Question #14 : How To Find The Volume Of A Cylinder In Pre Algebra

All High School Math Resources

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