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?
:
{{{s^3 = pi*r^2h}}}
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*r^3 = 64}}}
find r, the cube root of 64/pi
r = {{{3sqrt(64/pi)}}}
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*5.46^2*2.73}}} = 255.68 ~ 256, I guess we could call them equal