SOLUTION: the volume V of a right circular cone varies jointly as the square of the radius r and the height h. Tell what happens to V (volume) when r (radius) is doubled

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Question 409508: the volume V of a right circular cone varies jointly as the square of the radius r and the height h. Tell what happens to V (volume) when r (radius) is doubled
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

V%28cone%29+=+%281%2F3%29%28pi%29r%5E2h
when radius r is doubled, then we have
V%28cone%29+=+%281%2F3%29%28pi%29%282r%29%5E2h
V%28cone%29+=+%281%2F3%29%28pi%292%5E2%28r%29%5E2h
V%28cone%29+=+%281%2F3%29%28pi%294%28r%29%5E2h....put 4 in front
V%28cone%29+=+4%2A%281%2F3%29%28pi%29%28r%29%5E2h.....when radius r is doubled V (volume)
will quadruple.