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 :)

Respuesta :

Answer:

The radius is 7 feet.

Step-by-step 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

[tex]V = \pi r^2 h[/tex]

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

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

The radius is 7 feet.