# Volume of a Cylinder Calculator

Welcome to our Volume of a Cylinder Calculator page.

We explain how to find the volume of a right circular cylinder and provide a quick calculator to work it out for you, step-by-step.

There are also some worked examples and some worksheets for you to practice this skill.

### Volume of a Cylinder Calculator

Volume of a Cylinder Calculator ### Volume of a Cylinder Examples

#### Volume of a Cylinder Example 1

Find the volume of the cylinder below to 1 decimal place. The formula for the volume of a cylinder is: $V = \pi r^2 h$

If we substitute the values of the radius and height into this equation, we get: $V = \pi \cdot 4^2 \cdot 6 = \pi \cdot 16 \cdot 6 = 96 \pi$

This gives us a final answer of: $V =301.6 \;\ cm^3 \; to \; 1 \; decimal \; place$

#### Volume of a Cylinder Example 2

Find the volume of the cylinder below to 1 decimal place. The formula for the volume of a cylinder is: $V = \pi r^2 h$

As the cylinder is lying on its side, the actual 'height' of the cylinder is 6 ft and the radius is 2 ½ ft

If we substitute the values of the radius and height into this equation, we get: $V = \pi \cdot (2 {1 \over 2})^2 \cdot 6 = \pi \cdot {25 \over 4} \cdot 6 = {75 \over 2} \pi$

This gives us a final answer of: $V = 117.8 \;\ ft^3 \; to \; 1 \; decimal \; place$

#### Volume of a Cylinder Example 3

Find the volume of the cylinder below to 2 decimal places. We have been given the diameter instead of the radius. To find the radius, we just need to halve the diameter.

So the radius of the circular base is: $r = 9.4 \div 2 = 4.7 m$

The formula for the volume of a cylinder is: $V = \pi r^2 h$

If we substitute the values of the radius and height into this equation, we get: $V = \pi \cdot 4.7^2 \cdot 5.7 = \pi \cdot 22.09 \cdot 5.7 = 125.913 \pi$

This gives us a final answer of: $V = 395.57 \;\ m^3 \; to \; 2 \; decimal \; places$

### More Recommended Math Resources

Take a look at some more of our worksheets similar to these.

### More Circle Worksheets and Support Pages

How to Print or Save these sheets

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!