what effect does doubling the radius of a cone have on the cone's volume?

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26-04-2017
Mathematics

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what effect does doubling the radius of a cone have on the cone's volume?

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azuaodalys azuaodalys · Answer 1 · 2017-04-26T01:54:37+02:00

azuaodalys azuaodalys

26-04-2017

Volume of the cone:
V = 1/3 r² π h
If we double the radius:
V 1 = 1/3 ( 2 r )² π h = 4 · 1/3 r² π h
V 1 = 4 V
Answer: the volume becomes 4 times larger

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