Question

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

Answer 1

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.