Tuesday, March 10, 2009

Question on Volume of the Sphere

Topic : Volume of the Sphere

Question : The largest sphere is carved out of a cube of a side 7 inches. Find the volume of the sphere ?

Solution:

The diameter of largest sphere which can be carved out of a cube of side 7 inches is 7 inches.
Therefore radius of the sphere r = 7/2 inches
Hence ,
Volume of the sphere = (4/3)*pi*r3 cubic units
= (4/3)*(22/7)*(7/2)3
=179.66 cubic inches.

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