Chapter 12.3, Problem 9PSB

To determine

To calculate: The size of label required to fill a can of 8 cm in diameter and 14 cm in height.

Answer to Problem 9PSB

The size of label is $25.13$ cm by 14 cm.

Explanation of Solution

Given information:

Diameter of cylinder d = 8 cm,

Height of cylinder h = 14 cm.

Formula used:

Area of cylinder $=C\times h$

C = Circumference of cylinder and h = height of cylinder

Calculation:

  

The label is the lateral area

Lateral area of cylinder $=C\times h$

  $\begin{array}{l}r=\frac{8}{2}=4\\ C=2\pi \times 4=8\pi \end{array}$

h = 14

Lateral Area of cylinder $=8\pi \times 14$

Lateral Area of cylinder $=25.13\times 14$