Find the volume of right circular cone if the lateral surface is to be maximized and is inscribed in a sphere of radius 9 in (Hint: let theta be the central angle subtending a radius of the base of the cone.)

Question

anonymous · Answer

Let the radius of the cone be r height be h and length be l .
 $$h = 9 + \sqrt{81 - r ^{2}}$$

anonymous · Answer

$$l = \sqrt{r ^{2}  + h ^{2}}$$

anonymous · Answer

lateral surface area = pi * r * l
write l in terms of r and then differentiate wrt r and put to zero you will get values of r for which lateral surface area is maximum

anonymous · Answer

why is h = 9 + sqrt rt............?

anonymous · Answer

@suvesh253