Question

The volume of a right cylinder is 155.4 ft. 3 The radius is 3 ft. Determine the height of the cylinder.

Answer 1

ANSWER:  

The height of the cylinder is 6 ft approximately.

SOLUTION:

Given, the volume of a right cylinder is 155.4  $\mathrm{ft}^{3}$

And, radius of the cylinder is 3 ft.

We need to find the height of cylinder.

We know that, volume of the cylinder = area of cross section $\times$ height  

Here, cross section is circular.  Hence we can rewrite above formula as,

volume = area of circle $\times$ height

$\begin{array}{l}{\text { Volume }=\pi \times(\text { radius })^{2} \times \text { height }} \\ {155.4=\pi \times 3^{2} \times \text { height }}\end{array}$

$\begin{array}{l}{\text { Height }=\frac{155.4}{9 \times \pi}} \\\\ {=\frac{155.4}{28.27}=5.94}\end{array}$

Hence, the height of the cylinder is 6 ft approximately.