Chapter 12.2, Problem 6CYU

To determine

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

Answer to Problem 6CYU

The required lateral area and surface area are $1409.9{\text{cm}}^2$ and $2063.6{\text{cm}}^2$ 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,

  $\begin{array}{l}L=2\pi rh\\ =2\pi \left(10.2\right)\left(22\right)\\ =1409.9{\text{cm}}^2\end{array}$

The required surface area is,

  $\begin{array}{l}S=653.5+2\pi {\left(10.2\right)}^2\\ =1409.9+208.8\pi \\ =2063.6{\text{cm}}^2\end{array}$