Chapter 12.2, Problem 21PPS

To determine

Find the lateral area and surface area given cylinder.

Answer to Problem 21PPS

L = $155.8i{n}^2$

S = $256.3i{n}^2$

Explanation of Solution

Given:

  

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

  $L=2\pi rh$

The Surface area S of a cylinder with radius r and height h is

  $S=2\pi rh+2\pi r^2$

Calculation:

The given cylinder has height 6.2 in. and diameter 8 in.

  $radius=\frac{8}{2}=4in.$

Lateral area:

  $L=2\pi rh=2\pi (4)(6.2)\approx 155.8i{n}^2$

Surface area:

  $S=2\pi rh+2\pi r^2=155.8+2\pi \left(4^2\right)=155.8+100.5=256.3i{n}^2$

Hence ,

L = $155.8i{n}^2$

S = $256.3i{n}^2$