Chapter 12.2, Problem 23PPS

To determine

Find the surface area of the can .

Answer to Problem 23PPS

S = $42.5m^2$

Explanation of Solution

Given:

The largest beverage can was a cylinder with height 4.67 meters and diameter 2.32 meters.

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 4.67 m and diameter 2.32 m.

  $radius=\frac{2.32}{2}=1.16m$

Lateral area:

  $L=2\pi rh=2\pi (1.16)(4.67)\approx 34.0m^2$

Surface area:

  $S=2\pi rh+2\pi r^2=34+2\pi \left({1.16}^2\right)=34+8.5=42.5m^2$

Hence ,

S = $42.5m^2$