3. A right-angled triangle of which the sides containing the right angle are 6.3 cm and 10 cm in
length, is made to turn round on the longer side. Find the volume of the solid thus generated.
Also find its curved surface area.
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We know that the volume of a right circular cone with radius r and height h is V=31πr2h.
It is given that the height of the solid is h=10 cm and radius is 6.3 cm, therefore,
V=31πr2h=31×722×(6.3)2×10=31×722×39.69×10=415.8 cm3
Hence, the volume of the solid is 415.8 cm3.
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