Chapter 12.7, Problem 20STP

To determine

To find the surface area of the cylinder.

Answer to Problem 20STP

A) $272{\text{π ft}}^2$

Explanation of Solution

Given information:

The height of the cylinder is $30\text{ feet}$ long and diameter of the cylinder is $8\text{ feet}$ .

The options given are:

A) $272{\text{π ft}}^2$

B) $153{\text{π ft}}^2$

C) $286{\text{π ft}}^2$

D) $248{\text{π ft}}^2$

The surface area can be calculated by the formula:

  $\begin{array}{l}\text{Surface area}=\text{2πr}\left(\text{h}+\text{r}\right)\\ \text{Surface area}=\text{2π}\cdot \text{4}\left(30+4\right)\\ \text{Surface area}=\text{2π}\cdot \text{4}\left(34\right)\\ \text{Surface area}={\text{272π ft}}^2\end{array}$

Hence, the surface area of the cylinder is ${\text{272π ft}}^2$ .