Posted by **azhar** on Thursday, January 3, 2013 at 2:18am.

calculate ratio of the area to volume for unit cube, a unit sphere inscribed inside the cube and as right cylinder inscribed inside the cube

- math -
**Steve**, Thursday, January 3, 2013 at 11:08am
sphere diameter is the side of the cube, so radius is 1/2.

cylinder diameter and height are the side of the cube, so r = 1/2, h=1

cube: v=1 a=6, so 6:1

sphere: v=4/3 pi (1/2)^3 = pi/6

a = 4pi(1/2)^2 = pi

so, 6:1

cylinder: v = pi (1/2)^2 = pi/4

area= pi/2 + 2pi(1/2)(1) = 3pi/2

so, 6:1

whoda thunk it?

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