Chapter 12.9, Problem 7IP

To determine

To find : Lateral and Surface Area

Answer to Problem 7IP

LSA = $125.6{\text{ in}}^{\text{2}}$ and SA = $150.72{\text{ in}}^{\text{2}}$

Explanation of Solution

Given information :

The given information is,

Diameter = $4$ in. and radius = $2$ in., height = $10$ in.

  

Formula Used:

Lateral Surface Area (LSA) = $2\pi rh$

Surface Area (SA) = $2\pi rh+2\pi r^2$

Calculation :

LSA = $2\times 3.14\times \frac{4}{2}\times 10=\frac{251.2}{2}\text{in}{\text{.}}^{\text{2}}=125.6{\text{ m}}^{\text{2}}$

SA = $\frac{251.2}{2}+2\times 3.14\times {(2)}^2\times (1)$

  $\begin{array}{l}=125.6+25.12\\ =150.72{\text{ in}}^{\text{2}}\end{array}$