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Question:

A right triangle 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.

Solution:

Given, r = 5 cm, l = 13 cm, h = 12 cm
⇒ Volume of solid = 1/3 πr²h = 1/3 π × 5 × 5 × 12 = 100π cm³ = 100 × 3.14 = 314 cm³