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Question:

A right triangle ABC with sides 5cm, 12cm and 13cm is revolved about the side 5cm. Find the volume of the solid so obtained. Find also the ratio of volume of two solids obtained.

Solution:

Given:
⇒r=5cm, l=13cm, h=12cm
⇒Volume = (1/3)πr²h = (1/3)π × 5 × 5 × 12 = 100πcm³
⇒r=12, h=5cm, l=13cm
⇒Volume = (1/3)π × 12 × 12 × 5 = 240πcm³
⇒Ratio = 100π/240π = 10/24 = 5/12
⇒5:12