Question

The volume of a​ cone-shaped hole is 147 pi ft3 If the hole is 9 ft deep, what is the radius of the​ hole?

Please help!!

Answer 1

radius : 3.95 ft

`\sf volume \ of \ cone: (1)/(3) \pi r^2h`

`\hookrightarrow \sf (1)/(3) \pi r^2(9) = 147`

`\hookrightarrow \sf r^2 = (147*3)/(\pi (9))`

`\hookrightarrow \sf r = \sqrt{(147*3)/(\pi (9))}`

`\hookrightarrow \sf r = 3.95 \ ft`