A right triangle PQR with sides 3cm, 4cm, and 5cm is revolved about the side length 4cm. Find the volume of the shape so generated.

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If a Right triangle of sides 3cm,4cm and 5 cm is revolved about its side of length 4cm.

We get a Right circular cone of radius 3cm and perpendicular height 4 cm.

Therefore ,

r = 3cm and h = 4cm

So,

The volume of cone = 1/3 x 22/7 x 3 x 3 x 4

By simplifying we get ,

Volume = 264/7 cm3

i.e. Volume = 37.71 cm3

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