High School Math : How to find the volume of a cylinder

Example Questions

Example Question #651 : Geometry

The volume of a cylinder is  units cubed. If the cylinder's height is  units, what is its radius?

units

units

units

units

units

Explanation:

The formula for the volume of a cylinder is , where  is volume,  is the radius of the cylinder, and  is its height. Substituing the given information into this equation makes it possible to find the radius by solving for :

units

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

This figure is a right cylinder with radius of 2 m and a height of 10 m.

What is the volume of the right cylinder (m3)?

Explanation:

The formula for the volume of a right cylinder is  where  is the radius and  is the height.  Thus for this problem

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

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

Explanation:

When thinking of a 3D figure, think of it as a stack of something. In this case, a cylinder is a stack of a circles.

The volume will be the area of that base circle times the height of the cylinder. Mathematically that would be .

Plug in our given values and solve.

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

Find the volume of a cylinder given that its height and radius are 4 and 11, respectively.

Explanation:

The standard equation to find the volume of a cylinder is

where  denotes height and  denotes radius.

Plug in the given values for height and radius to find the volume of the cylinder:

Example Question #23 : Cylinders

Find the volume of the following cylinder.

Explanation:

The formula for the volume of a cylinder is:

where  is the radius of the base and  is the length of the height.

Plugging in our values, we get:

Example Question #24 : Cylinders

Find the volume of the following cylinder.

Explanation:

The formula for the volume of a cylinder is:

Where  is the radius of the base and  is the height of the cylinder

Plugging in our values, we get:

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

Find the volume of the following partial cylinder.

Explanation:

The formula for the volume of a partial cylinder is:

Where  is the radius of the cylinder,  is the height of the cylinder, and  is the degrees of the sector.

Plugging in our values, we get:

Example Question #121 : Solid Geometry

Find the volume of the following partial cylinder.

Explanation:

The formula for the volume of a partial cylinder is:

where  is the radius of the cylinder,  is the height of the cylinder, and  is the degrees of the sector.

Plugging in our values, we get:

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

If a cylinder has a radius, , of 2 inches and a height, , of 5 inches, what is the total surface area of the cylinder?

Explanation:

The total surface area will be equal to the area of the two bases added to the area of the outer surface of the cylinder. If "unwrapped" the area of the outer surface is simply a rectangle with the height of the cylinder and a base equal to the circumference of the cylinder base. We can use these relationships to find a formula for the total area of the cylinder.

Use the given radius and height to solve for the final area.

Example Question #1042 : Act Math

The volume of a cylinder is . If the radius of the cylinder is , what is the surface area of the cylinder?