SOLUTION: if the volume of a right circular cone increases by 33.1% to form a similar cone, find the percentage increase in its height

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Question 549976: if the volume of a right circular cone increases by 33.1% to form a similar cone, find the percentage increase in its height
Answer by Alan3354(69443) About Me  (Show Source):
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if the volume of a right circular cone increases by 33.1% to form a similar cone, find the percentage increase in its height
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1 = 33.1% --> 1.331 times the volume
Vol+=+pi%2Ar%5E2%2Ah%2F3
If the 2 are similar, the height and radius are in the same ratio, and volume is a function of the product.
%28x%2Ar%29%5E2%2A%28x%2Ah%29+=+x%5E3%2Ar%5E2%2Ah
x^3 = 1.331
x = 1.1
An increase of 10%