A sphere of maximum volume is cut out from a solid hemisphere of radius 6cm. Find the the volume of the cut sphere.

Asked by  | 26th Feb, 2013, 10:22: PM

Expert Answer:

A sphere with maximum volume that cna be cut out from a solid hemisphere will be the one whose diameter will be equal to that of the radius of the hemisphere. 
 
i.e. the radius of the sphere = 1/2 radius of hemisphere = 3 cm
Hence, its volume = 4/3 *pi*r3
Volume =  4/3 *pi*33
Volume = 792/7 cm3 = 113.14 cm3

Answered by  | 27th Feb, 2013, 03:27: AM

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