# Intermediate Geometry : How to find the surface area of a cylinder

## Example Questions

2 Next →

### Example Question #11 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round to  places after the decimal point.

### Example Question #12 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round to  places after the decimal point.

### Example Question #13 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round to  places after the decimal point.

### Example Question #14 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round to  places after the decimal point.

### Example Question #15 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round to  places after the decimal point.

### Example Question #16 : How To Find The Surface Area Of A Cylinder

Find the surface area of the given cylinder.

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round to  places after the decimal point.

### Example Question #1051 : Intermediate Geometry

Find the surface area of the given cylinder.

Explanation:

To find the surface area of the cylinder, first find the areas of the bases:

Next, find the lateral surface area, which is a rectangle:

Add the two together to get the equation to find the surface area of a cylinder:

Plug in the given height and radius to find the surface area.

Make sure to round to  places after the decimal point.

### Example Question #1052 : Intermediate Geometry

The above diagram shows a sphere inscribed inside a cylinder.

The sphere has a surface area of 100. Give the surface area of the cylinder.

Explanation:

Let  be the radius of the sphere. Then the radius of the base of the cylinder is also , and the height of the cylinder is .

The surface area of the cylinder is

which, after substituting, is

The surface area of the sphere is

Therefore, the ratio of the former to the latter is

and

That is, the cylinder has surface area  that of the sphere. Therefore, this area is

.

### Example Question #1053 : Intermediate Geometry

How many gallon cans of paint must be purchased in order to put a single coat of paint over the surface of a cylindrical water tank if the tank is 75 feet high and 25 feet in radius, and each gallon can of paint covers 350 square feet?

Assume that there is a side, a top, and a bottom to be painted.