Chapter 12, Problem 29CR

To determine

To calculate: Lateral area and surface area of cylinder of given diameter and height.

Answer to Problem 29CR

Lateral area = $379Inc{h}^2$ , surface area= $506.3Inc{h}^2$ .

Explanation of Solution

Given information:

The given information is, diameter and height of given cylinder are 9 inches and 13.4 Inches.

Formula used:

  $r=\frac{1}{2}$ , lateral area = $2\pi rh$

Surface area = $2\pi r(r+h)$

Calculation:

  $\begin{array}{l}GivenA=9inches,h=13.4inches\\ \therefore r=4.5Inches\\ lateralarea=2\pi rh\\ =2\times \frac{22}{7}\times 4.5\times 13.4\\ =379Inc{h}^2\\ surfacearea=2\pi r(r+h)\\ =2\times \frac{22}{7}\times 4.5\times 17.9\\ =506.3Inc{h}^2\end{array}$