Chapter 12.6, Problem 8PPS

To determine

To find:The lateral and surface area of the given cylinder.

Answer to Problem 8PPS

Lateral Surface area $=151.1891{\text{ in}}^2$

Surface area $=198.71{\text{ in}}^2$

Explanation of Solution

Given information:

The given cylinder as follows

  

Formula used:

For a cylinder,

The lateral surface area $L=2\pi rh$

The surface area $=L+2\pi r^2$

Calculation:

The lateral surface area $=2\pi rh$

  $\begin{array}{l}=2\pi \left(\frac{5.5}{2}\right)\left(8.75\right)\\ L=151.1891{\text{ in}}^2\end{array}$

The surface area $=L+2\pi r^2$

  $\begin{array}{l}=151.1891+2\pi {\left(\frac{5.5}{2}\right)}^2\\ =198.71{\text{ in}}^2\end{array}$

Hence,

The Lateral Surface area $=151.1891{\text{ in}}^2$ and the urface area $=198.71{\text{ in}}^2$