The total surface area of a right circular cone is given . Show that the volume of the cone is maximum when the semi-vertical angle is `sin^(-1)(1/3)`.

The total surface area of a right circular cone is given. Show that the volume of that cone will be maximum if the semivertical angle is sin^(-1)1/3 .

The whole surface area of a right circular cone = half of the circumference of the base of the cone x _____

The curved surface area of a right circular cone is sqrt(2) times of the area of the base. Then what is the vertical angle of the cone ?

If the total surface area of a right circular cone of radius 3cm be 24 pi sq-cm, then its volume will be .

A bell tent consists of a conical portion above a cylindrical portion near the ground. For a given volume and a circular base of a given radius, the amount of the canvas used is a minimum when the semi-vertical angle of the cone is cos^(-1)2/3 (b) sin^(-1)2/3 cos^(-1)1/3 (d) none of these

The curved surface area of a right circular cone = ___________ xx slant height .

If the height and slant height of a right circular cone are 5cm. And 13cm. Then the volume of the cone is

If the radius of the base of a right circular cone by halved and its height be doubled , then the volume of the cone remains the same.

If the base radius and height of a right circular cone are r and h respectively, then the volume of the cone is

The lateral surface area of a right circular cone = (Total surface area)=__________________.