Chapter 12.9, Problem 23STP

To determine

To find : Height of cylinder.

Answer to Problem 23STP

Option (G) $45$ mm

Explanation of Solution

Given information :

The given information is, surface are of cylinder is $5652{\text{ mm}}^{\text{2}}$ and diameter of circle = $30$ mm.

Formula Used:

Surface Area of cylinder = $2\pi rh+2\pi r^2$

Calculation :

Surface area of cylinder = $5652$

  $\begin{array}{l}2\times 3.14\times \frac{30}{2}\times (h+r)=5652\\ h=\frac{5652\times 2}{2\times 3.14\times 30}-15\\ h=45\text{ mm}\end{array}$

Hence, height of cylinder = $45$ mm