How to Calculate the Area, Radius and Height of a Cylinder | Nickzom Calculator

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 + 2πr2

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 + 2πr2
A = 2(3.142) x 3 x 5 + 2(3.142) x 32
A = 150.82

Therefore, the area of the cylinder is 150.82 cm2.

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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