allera8cehjkr allera8cehjkr

05-08-2016
Mathematics

contestada

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

Respuesta :

HomertheGenius HomertheGenius

06-08-2016

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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