Chapter 12.2, Problem 22PPS

To determine

Find the lateral area and surface area given cylinder.

Answer to Problem 22PPS

L = $12.4c{m}^2$

S = $32.8c{m}^2$

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 1.1 cm and diameter 3.6 cm.

  $radius=\frac{3.6}{2}=1.8cm$

Lateral area:

  $L=2\pi rh=2\pi (1.8)(1.1)\approx 12.4c{m}^2$

Surface area:

  $S=2\pi rh+2\pi r^2=12.4+2\pi \left({1.8}^2\right)=12.4+20.4=32.8c{m}^2$

Hence ,

L = $12.4c{m}^2$

S = $32.8c{m}^2$