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Brain Stuck A cube and cylinder are equal in height. Does

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Brain Stuck A cube and cylinder are equal in height. Does [#permalink] New post 11 Jul 2003, 20:33
Brain Stuck 8-)


A cube and cylinder are equal in height. Does the cube hold more water than the cylinder?

( 2) The diameter of the cylinder is equal to the base of the cube.

Just use that data.

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 [#permalink] New post 11 Jul 2003, 21:00
No, the cylinder holds pi/4 x the volume of the cube
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 [#permalink] New post 11 Jul 2003, 21:07
The diameter (D) of the cylinder is equal to the base of the cube.

The volume of the cube is D^3
The volume of the cylinder is (pi/4)D^3

pi/4<1

So, the cube holds more
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 [#permalink] New post 14 Jul 2003, 00:38
there is another solution:
imagine first cube and then cylindre in it - the answer is clear.
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definitely the cube [#permalink] New post 14 Jul 2003, 11:17
If the side of the cube = S, and the radius of the cylinder = r, and the equal height = h,

Since the side of the tube is equal to the height of the cube, then S=h,
Since the diameter of the cylinder equal to the base of the cube which is S, then the radius of the cynlinder is (S/2)

then the volume of the cube = S^2 * h
the volume of the cylinder = 3.14 * (s/2)^2 * h = (3.14/4) * S^2 *h

Now it is very clear that the volume of the cube is larger since S^2*h is definitely larget than 3/4 of (3.14/4) * S^2 *h.

Hope this is clear enough.

Good luck.
definitely the cube   [#permalink] 14 Jul 2003, 11:17
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