The image above represents a cylinder.

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

The formula for computing the area of a cylinder is:

A = 2πrh + 2πr^{2}

Where:

A = Area of a cylinder

r = radius of the cylinder

h = height of the cylinder

Let’s solve an example

Find the area 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

A = 2πrh + 2πr^{2}

A = 2(3.142) x 3 x 5 + 2(3.142) x 3^{2}

A = 150.82

Therefore, the **area of the cylinder** is **150.82 cm ^{2}**.

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

The formula is h = ^{A}/ _{2πr} – r

Where;

A = Area 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 an area of 600 cm² and a radius of 5 cm

This implies that;

A = Area of the cylinder = 600 cm²

r = radius of the cylinder = 5 cm

h = ^{A} / _{2πr} – r

h = ^{600} / _{2(3.142)(5)} – 5

h = ^{600} / _{31.42} – 5

h = 19.10 – 5

h = 14.10

Therefore, the** height of the cylinder **is** 14.10 cm.**

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