ANSWER:
The height of the cylinder is 6 ft approximately.
SOLUTION:
Given, the volume of a right cylinder is 155.4 [tex]\mathrm{ft}^{3}[/tex]
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 [tex]\times[/tex] height
Here, cross section is circular. Hence we can rewrite above formula as,
volume = area of circle [tex]\times[/tex] height
[tex]\begin{array}{l}{\text { Volume }=\pi \times(\text { radius })^{2} \times \text { height }} \\ {155.4=\pi \times 3^{2} \times \text { height }}\end{array}[/tex]
[tex]\begin{array}{l}{\text { Height }=\frac{155.4}{9 \times \pi}} \\\\ {=\frac{155.4}{28.27}=5.94}\end{array}[/tex]
Hence, the height of the cylinder is 6 ft approximately.
