Question

find the surface area of the cylinder. the surface area of the cylinder is __cm squared. simplify the answer and used exact terms of pi

Answer 1

Answer

The surface area of the cylinder = 208π cm²

Explanation

Given:

Radius, r = 8 cm

Height, h = 5 cm

What to find:

The surface area of the cylinder.

Step-by-step solution:

The formula for the surface area of a cylinder is given as

$S.A=2\pi rh+2\pi r^2$

Plugging the values of the given parameters and using exact terms of pi, we have;

$\begin{gathered} S.A=2\times\pi\times8cm\times5cm+2\times\pi\times(8cm)^2 \\ \\ S.A=\pi80cm^2+2\times\pi\times64cm^2 \\ \\ S.A=(80\pi+128\pi)cm^2 \\ \\ S.A=208\pi\text{ }cm^2 \end{gathered}$

The surface area of the cylinder = 208π cm²