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.
:
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/pi}}} is the radius
:
Find the Vol; V = pi*r^2*h
V = {{{pi*(4/pi)^2}}}*15
V = {{{pi(16/(pi^2))}}}*15
Cancel pi
V = {{{16/pi}}}*15
V = 76.394 cu/ft