SOLUTION: A cube and a cylinder have equal volume.If two sides of the cube are doubled,and the diameter of the cylinder is doubled,will the volumes of the resulting prisms still be equal?Sho

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Question 922776: A cube and a cylinder have equal volume.If two sides of the cube are doubled,and the diameter of the cylinder is doubled,will the volumes of the resulting prisms still be equal?Show all calculation plz
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cube and a cylinder have equal volume.
If two sides of the cube are doubled,
and the diameter of the cylinder is doubled,
will the volumes of the resulting prisms still be equal?
:
s%5E3+=+pi%2Ar%5E2h
let's see, assume the cube is 4" on a side with a vol of 64
let r = h then volume of the cylinder:
pi%2Ar%5E3+=+64
find r, the cube root of 64/pi
r = 3sqrt%2864%2Fpi%29
r = 2.73", diameter = 5.46
"If two sides of the cube are doubled,and the diameter of the cylinder is doubled"
8*8*4 = 256 cu/in
pi%2A5.46%5E2%2A2.73 = 255.68 ~ 256, I guess we could call them equal