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Probability

Question
CBSEENMA9003561

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

The solid obtained will be a right circular cone whose radius of the base is 5 cm and height is  12 cm.

∴ r = 5 cm h = 12 cm

therefore    Volume = 1 third πr squared straight h
            = 1 third cross times straight pi cross times left parenthesis 5 right parenthesis squared cross times 12 space cm cubed
equals space 100 straight pi space space cm cubed

Hence, the volume of the solid so obtained is 100   ∴ cm3.