Question

A cylinder has a height of 30 ft and a volume of 63,679 ft^3. What is the radius of the cylinder. With process please

Answer 1

The formula of the volume of a cylinder:


`V=\pi r^2H`

r - a radius of a base
H - a height of a cylinder

We have:


`V=63,679\ ft^3\\H=30\ ft`

Substitute:


`\pi r^2\cdot30=63,679\ \ \ |:30\pi\\\\r^2=(63,679)/(30\pi)\to r=\sqrt{(63,679\pi)/(30)}\ ft\\\\r\approx81.66\ ft`

Answer 2

the answer is the radius is 26 ft

hope this helps