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

Answer:

15.05 feet

Step-by-step 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:

• $V_{cone} =\frac{1}{3}\pi r^2 h$

• $\implies 3(V_{cone} )=\pi r^2h$

• $\implies r^2 =\frac{3(V_{cone})}{\pi h}$

• $\implies r^2 =\frac{3(4239)}{3.14* 18}$

• $\implies r^2 =\frac{12717}{56.52}$

• $\implies r^2 =226.603706$

• $\implies r=\sqrt{226.603706}$

• $\implies r=15.053362$

• $\implies r\approx 15.05\: ft$