Question

Find the surface area of the following figure by approximating pi as 3.14.

a. 314 in2
b. 315 in2
c. 316 in2
d. 317 in2
e. 318 in2

Answer 1

A

Explanation:

Given:

r (radius) = 5 in

h (height) = 5 in

Find: A (surface area) - ?

.

`a(surface) = a(lateral) + a(2 \: bases)`

First, we have to find the lateral surface:

`a(lateral) = 2\pi * r * h = 2 * 3.14 * 5 * 5 = 157 \: {in}^(2)`

Then, we have to find the area of the base and multiply it by 2, since the shown figure is a cylinder, which has 2 identical bases:

`a(2 \: bases) = 2 * \pi {r}^(2) = 2 * 3.14 * {5}^(2) = 157 \: {in}^(2)`

Now, let's add everything together and we'll get the answer:

`a(surface) = 157 + 157 = 314 \: {in}^(2)`