Chapter 12.2, Problem 3BCYP

To determine

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

Answer to Problem 3BCYP

The required lateral area and surface area are $90.48{\text{cm}}^2$ and $147c{m}^2$ respectively.

Explanation of Solution

Given information : diameter is 6 cm and height is 4.8 cm.

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,

  $\begin{array}{l}L=2\pi rh\\ =2\pi \left(3\right)\left(4.8\right)\\ =90.48{\text{cm}}^2\end{array}$

The required surface area is,

  $\begin{array}{l}S=90.48+2\pi {\left(3\right)}^2\\ =90.48+56.549\\ =147{\text{cm}}^2\end{array}$