Question

Suppose the height of a cylinder is 2155.13 ft cubed and the height is twice the radius of the cylinder. Determine the radius, rounded to the nearest whole foot.

thank you in advance :)

Answer 1

The radius is 7 feet.

Explanation:

I am assuming you meant to write volume of a cylinder is 2155.13 ft cubed.

The general formula for volume of a cylinder is

`V = \pi r^2 h`

with r the radius, and h the height. We are given V=2155.13 ft^3, and h=2r:

`2155.13 \mbox{ft}^3=\pi r^2(2r)=2\pi r^3\implies r=\sqrt[3]{(2155.13)/(2\pi)}\approx 7 \,\,\mbox{ft}`

The radius is 7 feet.