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Q.

A solid hemisphere and a solid cone have a common base. The centre of mass of common structure coincides with the common base. If R is the radius of hemisphere and h is the height of the cone, then hR  will be  k. Then the value of  k  is_______
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answer is 3.

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Detailed Solution

 m1=k×13πR2h,y1=h4
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 m2=k×23πR3,y2=−3R8
yC.M=m1y1+m2y2m1+m2=0 
 hR=3
 

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