Q. 205.0( 6 Votes )

Show that the con

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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