SOLUTION: how do you find the radius of a sphere if the volume of a cylinder is 1458 pi cm cubed?

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Question 946965: how do you find the radius of a sphere if the volume of a cylinder is 1458 pi cm cubed?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

find the radius of a sphere if the volume of a cylinder is 1458 pi cm cubed?
The volume V of a sphere is four-thirds times pi times the radius cubed.
V=(4/3)pi*r^3

Note : The volume of a sphere is 2%2F3+of the volume of a cylinder with same radius, and height+equal to the diameter.
if the volume of a cylinder is 1458%2Api%2Acm%5E3, then %282%2F3%291458%2Api%2Acm%5E3 is equal to %284%2F3%29pi%2Ar%5E3
so, we have:
%284%2F3%29pi%2Ar%5E3=%282%2F3%291458%2Api%2Acm%5E3
%284%2F3%29cross%28pi%29%2Ar%5E3=%282916%2F3%29%2Across%28pi%29%2Acm%5E3
%284%2F3%29r%5E3=972cm%5E3
r%5E3=972cm%5E3%2F%284%2F3%29
r%5E3=%283%2A972cm%5E3%29%2F4
r%5E3=729cm%5E3
r=root%283%2C729cm%5E3%29
r=9cm