The radii of the bases of two right circular solid cones of same height are r 1 and r 2 respectively. The cones are milted and recast into a solid sphere of radius R. Show that the height of each cone is given by h = 4 R 3 r 1 3 + r 2 3 .

Dear Student,

​Your question seems to be incorrect. The height of the cones should be: h = 4R3r12 + r22. Kindly refer to the following link for the solution:

https://www.meritnation.com/ask-answer/question/the-radii-of-the-babses-of-two-right-circular-solid-cones-o/math/4016817

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