Chapter 12.9, Problem 13IP

To determine

To find : Lateral area of exterior and interior of pipe.

Answer to Problem 13IP

  $94.2\text{in}{\text{.}}^{\text{2}}$ and $100.48\text{in}{\text{.}}^{\text{2}}$

Explanation of Solution

Given information :

The given information is,

Internal radius ( $r_1$ ) = $\frac{3}{2}\text{in}\text{.,}$ height ( $h$ ) = $10$ in., External radius ( $r_2$ ) = $\frac{3.2}{2}\text{in}\text{.}$

  

Formula Used:

Lateral surface area of cylinder = $2\pi rh$

Calculation :

Lateral surface area with internal radius

  $\begin{array}{l}=2\times 3.14\times \frac{3}{2}\times 10\\ =94.2\text{ in}{\text{.}}^{\text{2}}\end{array}$

LSA of external radius

  $\begin{array}{l}=2\times 3.14\times \frac{3.2}{2}\times 10\\ =100.48\text{ in}{\text{.}}^{\text{2}}\end{array}$