SOLUTION: A right circular cylinder has height of 15 feet and lateral surface area equal to 120 square feet. Find the volume of the cylinder.

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Question 386718: A right circular cylinder has height of 15 feet and lateral surface area equal to 120 square feet. Find the volume of the cylinder.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A right circular cylinder has height of 15 feet and lateral surface area equal to 120 square feet.
Find the volume of the cylinder.
:
Find the radius using the Lateral area:
LA = 2*pi*r*h
2*pi*r*15 = 120
30*pi*r = 120
Divide both sides by 30
pi*r = 4
r = 4%2Fpi is the radius
:
Find the Vol; V = pi*r^2*h
V = pi%2A%284%2Fpi%29%5E2*15
V = pi%2816%2F%28pi%5E2%29%29*15
Cancel pi
V = 16%2Fpi*15
V = 76.394 cu/ft