The image above represents a cylinder.

To compute the volume of a cylinder requires two essential parameters which are the radius and height of the cylinder.

The formula for computing the volume of a cylinder is:

V = πr^{2}h

Where:

V = Volume of a cylinder

r = radius of the cylinder

h = height of the cylinder

Let’s solve an example

Find the volume of a cylinder with a radius of 3 cm and a height of 5 cm.

This implies that:

r = radius of the cylinder = 3

h = height of the cylinder = 5

V = πr^{2}h

V = 3.142 x 3^{2} x 5

V = 141.39

Therefore, the **volume of the cylinder** is **141.39 cm ^{3}**.

**Calculating the Height of a cylinder when Volume and Radius is Given**

The formula is h = ^{V} / _{πr2}

Where;

V = Volume of a cylinder

r = radius of the cylinder

h = height of the cylinder

Let’s solve an example:

Find the height of a cylinder with a volume of 300 cm^{3} and a radius of 3 cm

This implies that;

V = Volume of the cylinder = 300 cm^{3}

r = radius of the cylinder = 3 cm

h = ^{V} / _{πr2}

h = ^{300} / _{3.142(3)2}

h = ^{300} / _{28.278}

h = 10.61

Therefore, the** height of the cylinder **is** 10.61 cm.**

**Calculating the Radius of a cylinder when Volume and Height is Given**

The formula is r = √(^{V} / _{πh})

Where;

V = Volume of a cylinder

r = radius of the cylinder

h = height of the cylinder

Let’s solve an example:

Find the radius of a cylinder with a volume of 200 cm^{3} and a height of 5 cm

This implies that;

V = Volume of the cylinder = 200 cm^{3}

h = height of the cylinder = 5 cm

r = √(^{V} / _{πh})

r = √(^{200} / _{3.142(5)})

r = √(^{200} / _{15.71})

r = √12.73

r = 3.57

Therefore, the** radius of the cylinder **is** 3.57 cm.**