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Probability

Question
CBSEENMA9003562

If the triangle ABC in the Question 7 above is revolved about the side 5 cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in Question 7 and 8.

Solution

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

therefore space space Volume space equals space 1 third πr squared straight h
space space space space space space space space space space space space space space equals space 1 third cross times straight pi cross times left parenthesis 12 right parenthesis squared cross times 5 space cm cubed
space space space space space space space space space space space space space space space equals space 240 straight pi space cm cubed

Ratio of the volumes of the two solids obtained = 100
∴: 240
∴ = 5 : 12