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?

math  Anonymous, Sunday, September 27, 2015 at 6:10pm
a cone is inscribed in a hemisphere which is inscribed inside a cylinder. show that the ratio of the volumes of cone to hemisphere to cylinder is 1:2:3
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