Question

A cone has a volume of 4239 cubic feet and a height of 18 feet. What is its radius?

Use
3.14 and round your answer to the nearest hundredth.
feet

Answer 1

15.05 feet

Explanation:

• 
  `V_(cone) = 4239\:ft^3` (Given)

• Height of cone (h) = 18 feet

• To find: radius of cone (r)

• Formula for volume of cone is given as:

• 
  `V_(cone) =(1)/(3)\pi r^2 h`

• 
  `\implies 3(V_(cone) )=\pi r^2h`

• 
  `\implies r^2 =(3(V_(cone)))/(\pi h)`

• 
  `\implies r^2 =(3(4239))/(3.14* 18)`

• 
  `\implies r^2 =(12717)/(56.52)`

• 
  `\implies r^2 =226.603706`

• 
  `\implies r=√(226.603706)`

• 
  `\implies r=15.053362`

• 
  `\implies r\approx 15.05\: ft`