If the volume , height and semi - vertical angle of a right circular cone be v,h and `alpha` respectively, then prove that `3v tan alpha=pi r^3`, where r= radius of base.

If h be the height and alpha the semi vertical angle of a right -circular cone, the its volume is given by

Semi - vertical angle of a right circular cone is 30^@ . If the ratio of the numerical value of the volume and slant surface area be 1:3 , the radius of the base is

The radius and slant height of a right circular cone are 5 cm and 13 cm respectively. What is the volume of the cone ?

Prove that the semi-vertical angle of the right circular cone of given volume and least curved surface is cot^(-1)(sqrt(2))

show that the semi vertical angle of a right circular cone of given total surface area and max volume is sin ^(-1)((1)/(3))

The vertical angle of a right circular cone is a and the slant height is sqrt(2)r сm . What is the volume of the cone in cubic cm?

Show that semi-vertical angle of right circular cone of given surface area and maximum volume is sin^(-1)((1)/(3))

If h is the height and r is the base radius of an open right circular cylinder of given volume has least surface area, then

A cone made of paper has height 3h and vertical angle 2 alpha It contains two other cones of height 2h and h and vertical angles 4 alpha and 6 alpha respectively.Find the ratio of the two volumes in between the cones.