Answer :
Let the radius and height of cone be r and h respectively
Radius of sphere = R
R2 = r2 + (h - R)2
R2 = r2 + h2 + R2 - 2hR
r2 = 2hR - h2 …1
Assuming volume of cone be V
Volume of cone, (from equation 1)
Condition for maxima and minima is
⇒ 4hR - 3 h2= 0
For ,
< 0
V will be maximum for
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