Chapter 12.2, Problem 5CYU

To determine

To calculate : To find lateral area and surface area of cylinder.

Answer to Problem 5CYU

The required lateral area and surface area are $653.5{\text{yd}}^2$ and $1715{\text{yd}}^2$ respectively.

Explanation of Solution

Given information : Consider the given figure of cylinder,

  

Formula used : The lateral area and surface area of cylinder is

  $\begin{array}{l}L=2\pi rh\\ S=L+2\pi r^2\end{array}$

Where, L is lateral area.

Calculation : The required lateral area is,

  $\begin{array}{l}L=2\pi rh\\ =2\pi \left(13\right)\left(8\right)\\ =653.5{\text{yd}}^2\end{array}$

The required surface area is,

  $\begin{array}{l}S=653.5+2\pi {\left(13\right)}^2\\ =282.74+157\\ =1715.3{\text{yd}}^2\end{array}$