Homework Help: math

Posted by brianna on Sunday, December 14, 2008 at 1:15pm.

2 cylinders are proportional. The smaller cylinder has a radius of 4 cm. which is half as large as the radius of the larger cylinder.The volume of the smaller cylinder is 250 cubic cm. What is the approximate volume of the larger cylinder?

math - Damon, Sunday, December 14, 2008 at 2:49pm
volume proportional to scale ratio cubed
250 * 8 = 2000

note, I did not have to work that out but here is why
vol = pi r^2 h
if R = 2 r
and H = 2 h
vol big = pi R^2 H = pi (2r)^2 (2 h) = 8 pi r^2 h

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