Chapter 12.2, Problem 20PPS

To determine

Find the lateral area and surface area given cylinder.

Answer to Problem 20PPS

L = $703.7f{t}^2$

S = $1011.6f{t}^2$

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 16 ft and radius 7 ft.

Lateral area:

  $L=2\pi rh=2\pi (7)(16)\approx 703.7f{t}^2$

Surface area:

  $S=2\pi rh+2\pi r^2=703.7+2\pi \left(7^2\right)=703.7+307.9=1011.6f{t}^2$

Hence ,

L = $703.7f{t}^2$

S = $1011.6f{t}^2$