<PRE><B>Question 255274</B>
formula for the surface area of a sphere is:


s = 4 * pi * r^2


formula for the volume of a sphere is:


v = (4/3) * pi * r^3


since s = 4 * pi * r^2, and since s = 3600 * pi, then we get:


3600 * pi = 4 * pi * r^2


divide both sides of this equation by pi to get:


3600 = 4 * r^2


divide both sides of this equation by 4 to get:


900 = r^2


take square root of both sides of this equation to get:


r = 30


We want to find what v/pi equals.


since v = (4/3) * pi * r^3, and since r = 30, we get:


v = (4/3) * pi * (30)^3 which becomes:


v = (4/3) * pi * 27000


divide both sides of this equation by pi to get:


v/pi = (4/3) * 27000 = 36000.


our answer is:


v/pi = 36000








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