SOLUTION: A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius.

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Question 683328: A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius.
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Subtract the volume of a sphere with radius 7.5 from the volume of a cube with edge 15.

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Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A wooden cube of side 15cm is used to make a spherical ball. Work out the volume of wood that must be cut from the cube to make a ball with the largest possible radius.
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The largest diameter = side length = 15 cm
r = 7.5 cm
Vol of cube = 15^3 cc
Vol of sphere = 4%2Api%2Ar%5E3%2F3 cc
Wood removed is the difference