# Intermediate Geometry : How to find the volume of a cylinder

## Example Questions

### Example Question #1074 : Intermediate Geometry

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

Explanation:

Recall how to find the volume of a cylinder:

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

Substitute in the given values to find the volume.

Solve.

### Example Question #1075 : Intermediate Geometry

A cylinder has a smaller cylinder cut out of its core as shown by the figure below.

Find the volume of the figure.

Explanation:

In order to find the volume of the figure, we will first need to find the volume of both cylinders.

Recall how to find the volume of the cylinder:

Now, use the given radius and height to find the volume of the larger cylinder.

Next, use the given radius and height to find the volume of the smaller cylinder.

Subtract the volume of the smaller cylinder from the volume of the larger one to find the volume of the figure.

Make sure to round to  places after the decimal.

### Example Question #1076 : Intermediate Geometry

Find the volume of the figure.

Explanation:

In order to find the volume of the figure, we will first need to find the volume of both cylinders.

Recall how to find the volume of the cylinder:

Now, use the given radius and height to find the volume of the larger cylinder.

Next, use the given radius and height to find the volume of the smaller cylinder.

Subtract the volume of the smaller cylinder from the volume of the larger one to find the volume of the figure.

Make sure to round to  places after the decimal.

### Example Question #1077 : Intermediate Geometry

Find the volume of the figure.

Explanation:

In order to find the volume of the figure, we will first need to find the volume of both cylinders.

Recall how to find the volume of the cylinder:

Now, use the given radius and height to find the volume of the larger cylinder.

Next, use the given radius and height to find the volume of the smaller cylinder.

Subtract the volume of the smaller cylinder from the volume of the larger one to find the volume of the figure.

Make sure to round to  places after the decimal.

### Example Question #1078 : Intermediate Geometry

Find the volume of the figure.

Explanation:

In order to find the volume of the figure, we will first need to find the volume of both cylinders.

Recall how to find the volume of the cylinder:

Now, use the given radius and height to find the volume of the larger cylinder.

Next, use the given radius and height to find the volume of the smaller cylinder.

Subtract the volume of the smaller cylinder from the volume of the larger one to find the volume of the figure.

Make sure to round to  places after the decimal.

### Example Question #1079 : Intermediate Geometry

Find the volume of the figure.

Explanation:

In order to find the volume of the figure, we will first need to find the volume of both cylinders.

Recall how to find the volume of the cylinder:

Now, use the given radius and height to find the volume of the larger cylinder.

Next, use the given radius and height to find the volume of the smaller cylinder.

Subtract the volume of the smaller cylinder from the volume of the larger one to find the volume of the figure.

Make sure to round to  places after the decimal.

### Example Question #31 : Cylinders

The figure below represents a cylinder with a smaller cylinder removed from its middle.

Find the volume of the figure.

Explanation:

In order to find the volume of the figure, we will first need to find the volume of both cylinders.

Recall how to find the volume of the cylinder:

Now, use the given radius and height to find the volume of the larger cylinder.

Next, use the given radius and height to find the volume of the smaller cylinder.

Subtract the volume of the smaller cylinder from the volume of the larger one to find the volume of the figure.

Make sure to round to  places after the decimal.

### Example Question #32 : Cylinders

Find the volume of the figure.

Explanation:

In order to find the volume of the figure, we will first need to find the volume of both cylinders.

Recall how to find the volume of the cylinder:

Now, use the given radius and height to find the volume of the larger cylinder.

Next, use the given radius and height to find the volume of the smaller cylinder.

Subtract the volume of the smaller cylinder from the volume of the larger one to find the volume of the figure.

Make sure to round to  places after the decimal.

### Example Question #33 : Cylinders

Find the volume of the figure.

Explanation:

In order to find the volume of the figure, we will first need to find the volume of both cylinders.

Recall how to find the volume of the cylinder:

Now, use the given radius and height to find the volume of the larger cylinder.

Next, use the given radius and height to find the volume of the smaller cylinder.

Subtract the volume of the smaller cylinder from the volume of the larger one to find the volume of the figure.

Make sure to round to  places after the decimal.

### Example Question #34 : Cylinders

Find the volume of the figure.

Explanation:

In order to find the volume of the figure, we will first need to find the volume of both cylinders.

Recall how to find the volume of the cylinder:

Now, use the given radius and height to find the volume of the larger cylinder.

Next, use the given radius and height to find the volume of the smaller cylinder.

Subtract the volume of the smaller cylinder from the volume of the larger one to find the volume of the figure.

Make sure to round to  places after the decimal.