Chapter 12, Problem 16CT

To determine

To find:The height of cylinder with radius 7.

Answer to Problem 16CT

The height of cylinder is 5 cm.

Explanation of Solution

Given information:

The radius of cylinder 7 and total area is $168\pi {\text{cm}}^2$ .

Formula used:The formula for the total area of a cylinder with radius r and height h is:

  $\text{Total area = 2}\pi r\left(r+h\right)$

Calculation:

Substitute 7 for r and $168\pi$ for total area in the above formula.

  $\begin{array}{c}\text{Total area}=\text{2}\pi r\left(r+h\right)\\ 168\pi =2\pi \times 7\left(7+h\right)\\ 7+h=12\\ h=5\text{cm}\end{array}$

Therefore, the height of cylinder is 5 cm.