# What is the formula for the surface area of a cylinder?

**Solution:**

The surface area of any 3-d object is the total area of all of its surfaces.

We know that a cylinder has a curved surface as its main body and two circular faces.

The surface area of a cylinder is expressed as the total area of all of its surfaces.

Therefore, the surface area of a cylinder = area of two circular faces + area of the curved surface

= 2 × πr^{2} + 2πrh

= 2πr(r + h)

where, the base radius is ‘r’, and height is ‘h’

Hence, the formula for the surface area of a cylinder is 2πr(r + h).

## What is the formula for the surface area of a cylinder?

**Summary:**

The surface area of a cylinder is 2πr(r + h).

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