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Solution


Q.

The largest possible hemisphere is drilled out from a wooden cubical block of side 21 cm such that the base of the hemisphere is on one of the faces of the cube. Find the volume of wood left in the block

Ans.

(6835.5)

Diameter of hemisphere = side of the cube = 21 cm

∴ radius of hemisphere = 21/2 cm

Volume of the wood left = volume of cube – volume of hemisphere

=213-23×227×(212)3=9261-23×227×212×212×212

=9261-2425.5=6835.5 cm3