Chapter 12.2, Problem 25PPS

To determine

Find the surface area of the can .

Answer to Problem 25PPS

  $r\approx 9.2cm$

Explanation of Solution

Given:

  

Formula Used: The Lateral area L of a cylinder with radius r and height h is

  $L=2\pi rh$

Calculation:

The given cylinder has height 11 cm and Lateral area = $635.9c{m}^2$

Lateral area:

  $\begin{array}{l}L=2\pi rh=2\pi r(11)=\mathrm{635.9....}[given]\\ \Rightarrow 69.1r=635.9\\ \Rightarrow r=\frac{635.9}{69.1}\mathrm{........}[divide\text{ each side by 69}\text{.1]}\\ \Rightarrow r\approx 9.2cm\end{array}$