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

The surface area of the cylinder = 208π cm²

Step-by-step 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*\pi*8cm*5cm+2*\pi*(8cm)^2 \\ \\ S.A=\pi80cm^2+2*\pi*64cm^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