Question

Find the surface area of the following figure in terms of pi.

Answer 1

A

Explanation:

Given:

r (radius) = 2 in

h (height) = 8 in

Find:

A (surface area) - ?

.

First, we have to find the lateral area of the cylinder:

`a(lateral) = 2\pi * r * h = 2 * π* 2 * 8 = 32\pi \: {in}^(2)`

Now, let's find the area of both bases (since a cylinder has 2 identical bases, we have to multiply the area of one base by 2):

`a(2 \: bases) = 2 * \pi {r}^(2) = 2 * π* {2}^(2) = 8\pi \: {in}^(2)`

In order to find the surface area, we have to add both lateral and bases' areas together:

`a(surface) =32\pi + 8\pi = 40\pi \: {in}^(2)`