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Question -

A right angled ╬Ф ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. Find the volume of the solid so obtained.



Answer -

On revolving the right angled ╬Ф ABC about the side AB, we get a right circular cone as shown in the adjoining figure, whose radius (r) = 5 cm and height (h) = 12 cm.
тИ┤ Volume of the solid so obtained =┬а┬а╧Аr2h
=┬а┬аx ╧А x 5 x 5 x 12 3
= ╧А x 5 x 5 x 4 = 100╧А cm3
Hence, the volume of the solid so obtained is 100╧А cm3.


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