# Perimeter of a Cylinder

Perimeter is the boundary covered around a 2-dimensional object. The cylinder being a 3-dimensional shape, we cannot practically find the perimeter of a cylinder.

However, in the case of a cylinder, we can find the perimeter by making a vertical cross-section along the line, parallel to its height, such that it forms a rectangle. So, the length of the rectangle becomes the perimeter of the cylinder as shown below.

The perimeter (P) is measured in units of length such as m, cm, mm, and ft.

## Formula

The formula to calculate the perimeter of a cylinder is given below:

Let us solve some examples to understand the concept better.

## Solved Examples

Find the perimeter of a cylinder having a diameter of 15 inches and a height of 28 inches.

Solution:

As we know,
Perimeter (P) = (2 × d) + (2 × h), here d = 15 inches, h = 28 inches
= (2 × 15) + (2 × 28)
= 30 + 56
= 86 inches

The radius of a cylinder is 11 ft and the height is 24 ft. Calculate the perimeter of the cylinder.

Solution:

As we know,
Diameter (d) = 2 × r, here r = radius = 11 ft
= 2 × 11
= 22 ft
Now,
Perimeter (P) = (2 × d) + (2 × h), here d = 22 ft, h = 24 inches
= (2 × 22) + (2 × 24)
= 44 + 48
= 92 ft