Chapter 12.6, Problem 22STP

To determine

Calculate the area of paper required to label the can.

Answer to Problem 22STP

Area of paper required to label the can is $9.42inc{h}^2$

Explanation of Solution

Given:

Calculations:

Here, we have to calculate surface area of paper required to label the can,

Amount of paper needed to wound around cylinder is nothing but a rectangle. Hence, we have equate it with area of rectangle.

We know that, surface area of cylinder is calculated as,

  $Areaofpaper=2\pi rh$

Where, r is the radius of cylinder

h is the height of cylinder

  $\begin{array}{l}Areaofpaper=2\pi rh\\ =2\times 3.14\times 2\frac{1}{4}\times 3\\ =9.42inc{h}^2\end{array}$

Conclusion:

Therefore, we are able to calculate area of paper required to label the can using simple formula.