A hemisphere is inscribed in a cone so that its base lies on the base of the cone. The ratio of the area of the entire surface of the cone to the area of the hemisphere (without the base) is 18/5. Compute the angle at the vertex of the cone.

(In reply to Solution by Jer)

Isn't the radius of the cone different and significantly larger than the radius of the sphere?

Posted by Steven Lord on 2024-06-26 13:42:07