a right triangle ABC with sides 5cm,12 cm,13cm is revolved around side 12 cm find volume of solid please post answer with full explanation
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Hypotenuse of triangle = 13cm
As the triangle is revolved from the side 12cm,
Height = 12 cm
radius = 5 cm
We know when a triangle is revolved it forms a cone,
volume of cone = 1/3πr²h
= 1/3 x 22/7 x 5² x 12
= 1/3 x 22/7 x 25 x 12
= 1/3 x 22/7 x 200
= 22/21 x 200
= 4400/21
= 314.28 cm³
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Solid so obtained is a cone with r=5 & h= 12
⇒ Volume = 31 πr 2 h= 3π ×25×12=100 πcm 2.
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