SOLUTION: The volume V of a sphere of radius r is V= 4/3, pie R squared. If the radius of one sphere is 4 time the radius of the other and the smaller sphere has volume 500 cubic feet, w

Question 255305: The volume V of a sphere of radius r is V= 4/3, pie R squared.
If the radius of one sphere is 4 time the radius of the other and the smaller sphere has volume 500 cubic feet, wht is the volume in cubic feet, of the larger sphere?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The volume V of a sphere of radius r is V= 4/3, pie R squared.
If the radius of one sphere is 4 time the radius of the other and the smaller sphere has volume 500 cubic feet, wht is the volume in cubic feet, of the larger sphere?
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It's (4/3)pi*r^3, r cubed.
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Volume is a function of the cube of the radius.
4 x radius --> 4^3 times the volume, = 64 times.
The larger sphere's volume is 500*64 cf
V = 32000 cubic feet
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PS It's the Greek letter pi, not the dessert, pie.

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