Question

a cylinder with radius r and height 2r + 4 contains a cube with edge length r√(2), as shown. what fraction of the cylinder's volume is taken up by the cube (in simplified form)

Answer 1

can't see the picture, but it sounds like the cube lies flat on the bottom of the cylinder, and it touches all four corners on the cylinder. Then the ratio of volumes is

(r√2)^3/(pi r^2 (2r+4))

Plug in your value of r for a numeric value.

Answer 2

I couldn't add a picture, but the cylinder is laying on its side and the cube is in the middle.

Answer 3

the side of r√2 clearly indicates the cube's base diagonal is the diameter of the cylinder. So, geez, pretend the cylinder is standing up already. I think my result is correct. Just simplify it some.

Answer 4

I have a link for the pic but I can post it.