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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