SOLUTION: The sphere of radius r inside a cube touches each one of the six sides of the cube what is the volume of the cube, in terms of r ? a r^3 b 2r^3 c 4r^3 d 4/3 pi r^3

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Question 253794: The sphere of radius r inside a cube touches each one of the six sides of the cube
what is the volume of the cube, in terms of r ?
a r^3 b 2r^3 c 4r^3 d 4/3 pi r^3 e 8r^3

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a cube of side a is v=a^3
Here the side a=2r
substitute 2r for a
v=(2r)^3=8r^3