# Cylinder volume calculator

## Volume

## Cylinder

## Cylinder volume

A cylinder is a three-dimensional geometric shape with a circular base and straight sides that extend upwards to form a cylindrical shape. The volume of a cylinder can be calculated using the following formula:

V = \pi r^2h

where V is the volume of the cylinder, r is the radius of the circular base, and h is the height of the cylinder.

## Cylinder Volume Formulas

The formula for calculating the volume of a cylinder can be derived by using the basic formula for the volume of a cylinder, which is the product of the area of the base and the height of the cylinder.

V = Sh

The area of the base is calculated using the formula for the area of a circle, which is πr². Thus the formula for the volume of a cylinder can be written as:

V = \pi r^2h

where V is the volume of the cylinder, S is the area of the base, r is the radius of the circular base and h is the height of the cylinder.

## How to Use the Cylinder Volume Calculator

Our cylinder volume calculator makes it easy to find the volume of your cylinder. To use the calculator:

- Option 1: Select the `Through radius and height` method. Enter the radius and height of the cylinder in the first and second boxes respectively. The calculator will automatically calculate the volume of the cylinder.
- Select the `Through the base area` method. Enter the base area and height of the cylinder in the first and second boxes respectively. The calculator will automatically calculate the volume of the cylinder.

## Cylinder Volume Examples

Here are some examples of finding the volume of a cylinder using the formula:

### Example 1

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm.

V = \pi 5^2 10 = 785.4cm^3

### Example 2

Find the volume of a cylinder with a base area of 50 sq cm and a height of 8 cm.

V = 50*8 = 400cm^3

## Conclusion

Calculating the volume of a cylinder is an important skill in geometry. Our cylinder volume calculator and formula make it easy to find the volume of your cylinder.

- Area
- Volume
- Perimeter
- Side
- Height
- Diagonal
- Radius
- Median
- Bisector
- Angle
- Theorems