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let the radius of cone be r.

volume of cone = pier^2h/3

volume of pyramid = abh/3 (a,b are length and breadth of rectangle)  = (12*9h)/3 = 28h

(pier^2h/3)/28h = 1/3

r^2/42 = 1/3

r = sqrt(14)

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Thanks tzeshawn.

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