Volume Problem

Hockeyman

Junior Member
Joined
Dec 8, 2005
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What is the volume of the greatest wooden sphere that can be carved out of a wooden cube whose edges measure 12 cm.

Not sure what to do. All i have is the volume of the cube which is 1728 cm^{3}
 
Hockeyman said:
What is the volume of the greatest wooden sphere that can be carved out of a wooden cube whose edges measure 12 cm.

Not sure what to do. All i have is the volume of the cube which is 1728 cm^{3}

The largest sphere that could be carved (by a very careful carver!) would be a sphere whose diameter is equal to an edge of the cube, or 12 cm. If you know that the DIAMETER of the sphere is 12 cm, can you find its volume?

I hope this helps you.
 
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