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find the radius "R" of the largest sphere that can be fitted in a closed right circular cone with radius "r" and height"h" in terms of r and h.

find the radius "R" of the largest sphere that can be fitted in a closed right circular cone with radius "r" and height"h"  in terms of r and h.

Grade:10

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear ajinkya

 

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sinΘ = R/(h-R)

and

 sinΘ = r/√(r2 +h2)

so

  r/√(r2 +h2)  = R/(h-R)

simplyfy

  R = h/[1+√(1 +(h/r)2)]

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