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Intermediate Geometry : Cylinders

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Example Questions

Example Question #101 : Solid Geometry

Find the volume of a cylinder that has a radius of and a height of .

Possible Answers:

$16\pi$

$64\pi$

$32\pi$

$8\pi$

Correct answer:

$32\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times 4^2\times 2$

Solve.

$\text{Volume of Cylinder}=32\pi$

Report an Error

Example Question #102 : Solid Geometry

Find the volume of a cylinder that has a radius of and a height of .

Possible Answers:

$75\pi$

$200\pi$

$50\pi$

$100\pi$

Correct answer:

$100\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times 5^2\times 4$

Solve.

$\text{Volume of Cylinder}=100\pi$

Report an Error

Example Question #33 : Cylinders

Find the volume of a cylinder that has a radius of $\frac{1}{2}$ and a height of .

Possible Answers:

$2\pi$

$8\pi$

$4\pi$

$\pi$

Correct answer:

$2\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times\left( \frac{1}{2}\right)^2\times 8$

Solve.

$\text{Volume of Cylinder}=2\pi$

Report an Error

Example Question #33 : Cylinders

Find the volume of a cylinder that has a radius of and a height of .

Possible Answers:

$48\pi$

$144\pi$

$72\pi$

$36\pi$

Correct answer:

$72\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times 6^2\times 2$

Solve.

$\text{Volume of Cylinder}=72\pi$

Report an Error

Example Question #35 : Cylinders

Find the volume of a cylinder that has a radius of and a height of .

Possible Answers:

$2025\pi$

$1225\pi$

$75\pi$

$1775\pi$

Correct answer:

$2025\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times 15^2\times 9$

Solve.

$\text{Volume of Cylinder}=2025\pi$

Report an Error

Example Question #36 : Cylinders

Find the volume of a cylinder that has a radius of $\frac{1}{4}$ and a height of .

Possible Answers:

$3\pi$

$9\pi$

$\sqrt3\pi$

$6\pi$

Correct answer:

$3\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times \left(\frac{1}{4}\right)^2\times 48$

Solve.

$\text{Volume of Cylinder}=3\pi$

Report an Error

Example Question #37 : Cylinders

Find the volume of a cylinder that has a radius of and a height of .

Possible Answers:

$2028\pi$

$1765\pi$

$2198\pi$

$2710\pi$

Correct answer:

$2028\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times 13^2\times 144$

Solve.

$\text{Volume of Cylinder}=2028\pi$

Report an Error

Example Question #38 : Cylinders

Find the volume of a cylinder that has a radius of and a height of $\frac{1}{8}$ .

Possible Answers:

$\frac{1}{2}\pi$

$\pi$

$\frac{1}{4}\pi$

$\frac{1}{8}\pi$

Correct answer:

$\frac{1}{2}\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times 2^2\times \frac{1}{8}$

Solve.

$\text{Volume of Cylinder}=\frac{1}{2}\pi$

Report an Error

Example Question #39 : Cylinders

Find the volume of a cylinder that has a radius of and a height of $\frac{1}{4}$ .

Possible Answers:

$324\pi$

$162\pi$

$81\pi$

$54\pi$

Correct answer:

$81\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times 18^2\times \frac{1}{4}$

Solve.

$\text{Volume of Cylinder}=81\pi$

Report an Error

Example Question #40 : Cylinders

Find the volume of a cylinder that has a radius of $\frac{1}{5}$ and a height of $\frac{2}{3}$ .

Possible Answers:

$\frac{2}{75}\pi$

$\frac{4}{75}\pi$

$\frac{1}{25}\pi$

$\frac{1}{75}\pi$

Correct answer:

$\frac{2}{75}\pi$

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume of Cylinder}=\text{Area of base}\times\text{height}$

Since the base of a cylinder is a circle, we can write the following equation:

$\text{Volume of Cylinder}=\pi\times\text{radius}^2\times\text{height}$

Substitute in the given values to find the volume.

$\text{Volume of Cylinder}=\pi\times (\frac{1}{5})^2\times \frac{2}{3}$

Solve.

$\text{Volume of Cylinder}=\frac{2}{75}\pi$

Report an Error

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Intermediate Geometry : Cylinders

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #101 : Solid Geometry

Example Question #102 : Solid Geometry

Example Question #33 : Cylinders

Example Question #33 : Cylinders

Example Question #35 : Cylinders

Example Question #36 : Cylinders

Example Question #37 : Cylinders

Example Question #38 : Cylinders

Example Question #39 : Cylinders

Example Question #40 : Cylinders

All Intermediate Geometry Resources

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