Height of a Cylinder

The height of a cylinder is the distance between the 2 circular bases of the cylinder. It is measured in units of length such as m, cm, mm, and ft. Shown below is the height of a cylinder.

Let us now learn how to find the height of a cylinder with formulas and solved examples.

Formula

The formula to calculate the height of a cylinder is derived from the formula used to find the volume of a cylinder.

As we know,

Volume (V) = πr²h  

The above formula can be written in terms of radius (r), as follows

=> h = V/πr², here V = volume, π = 22/7 = 3.141, r = radius

Thus, the equation to calculate the height (h) of a cylinder = V/πr², here V = volume, π = 22/7 = 3.141, r = radius

Let us solve some examples to understand the concept better.

Solved Examples

A cylinder has a radius of 3 units and a volume of 244.22 cubic units. Find the height of the cylinder.

Solution:

As we know,
Volume (V) = πr²h, here V = 244.22 cubic units, π = 3.141, r = 3 units
 => 244.22 = 3.141 × 3 × 3 × h
=> h = 244.22/3.141 × 3 × 3
=> h = 244.22/28.269
=> h = 8.639 units
Thus, the height of the cylinder with 3 units and a volume of 244.22 cubic units is 8.639 units

A cylinder with a radius of 6 inches has a volume of 175.6 cubic inches. What is the height of the cylinder?

Solution:

As we know,
Volume (V) = πr²h, here V = 175.6 cubic units, π = 3.141, r = 6 inches
=> 175.6 = 3.141 × 6 × 6 × h
=> h = 175.6/3.141 × 6 × 6
=> h = 175.6/113.076
=> h = 1.552 inches
Thus, the height of the cylinder with a radius of 6 inches has a volume of 175.6 cubic inches is 1.552 inches