Chapter 12.2, Problem 19PPS

To determine

Find the lateral area and surface area given cylinder.

Answer to Problem 19PPS

L = $282.7m{m}^2$

S = $339.2m{m}^2$

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 15 mm and radius 3 mm.

Lateral area:

  $L=2\pi rh=2\pi (3)(15)\approx 282.7m{m}^2$

Surface area:

  $S=2\pi rh+2\pi r^2=282.7+2\pi \left(3^2\right)=282.7+56.5=339.2m{m}^2$

Hence ,

L = $282.7m{m}^2$

S = $339.2m{m}^2$