Chapter 12.6, Problem 23STP

To determine

Calculate the height of cylinder.

Answer to Problem 23STP

Height of cylinder is $45mm$

Explanation of Solution

Given:

Surface area of cylinder= 5652 square mm

Diameter of cylinder=30 mm

Radius of cylinder=15 mm

Calculations:

Here, we have to calculate surface area of cylindrical bar and compare it with equivalent metal bar..

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

  $\begin{array}{l}Surfacearea=2\pi r^2+2\pi rh\\ 5652=(2\times 3.14\times {15}^2)+(2\times 3.14\times 15\times h)\\ 5652=1413+94.2h\\ 94.2h=5652-1413\\ 94.2h=4239\\ h=\frac{4239}{94.2}\\ h=45mm\end{array}$

Conclusion:

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