SOLUTION: a cube of side 3cm contains a sphere withn it.if the sphere touches each face of the cube,find the volume of the space between the cube and the sphere.

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Question 621070: a cube of side 3cm contains a sphere withn it.if the sphere touches each face of the cube,find the volume of the space between the cube and the sphere.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a cube of side 3cm contains a sphere within it.
if the sphere touches each face of the cube, find the volume of the space between the cube and the sphere.
Radius = 1.5 cm
Space = vol of the cube - vol of the sphere
S = 3%5E3 - 4%2F3pi%2A1.5%5E3
S = 27 - 14.137
S = 12.863 cu/cm space