Chapter 12.6, Problem 18PPS

To determine

Calculate the height of the cylinder.

Answer to Problem 18PPS

Height of cylinder is $11.963cm$

Explanation of Solution

Given:

Radius of cylinder= 4 cm

Surface area of cylinder= 402 square cm

Calculations:

Here, we have to calculate height of cylinder.

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

  $Surfacearea=2\pi r^2+2\pi rh$

Where, r is the radius of cylinder

h is the height of cylinder

Putting values in equation, we get

  $\begin{array}{l}Surfacearea=2\pi r^2+2\pi rh\\ 402=(2\times 3.14\times 4^2)+(2\times 3.14\times 4\times h)\\ 402=100.48+25.12\times h\\ 402-100.48=25.12\times h\\ 300.52=25.12\times h\\ h=11.963cm\end{array}$

Conclusion:

Therefore, we are able to calculate height of cylinder using simple formula.