A right circular cone is cut by two planes parallel to the base and trisecting the height. Compare the volumes of three parts into which the cone is divided.

The slant height of a right circular cone is 10 cm and its height is 8 cm. It is cut by a plane parallel to its base passing through the midpoint of the height. Ratio of the volume of the cone to that of the frustum of the cone cut is

A solid cone of base radius t 10 cm is to be cut into two parts through the mid point of its height , by a plane parallel to the base. Find the ratio in the volume of two parts of the cone

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/27 of the volume of the given cone, at what height above the base is the session made?

The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume be 1/64 of the volume of given cone, at what height above the base is the section made?

A cylinder and a right circular cone of hesimphere having the same base and same height. The volume of the cylinder is 3times the volume of the cone.

Six straight lines are in a plane such that no two are parallel & no three are concurrent. The number of parts in which these lines divide the plane will be

A cone and a cylinder have the same base. Find the ratio of their heights it their volumes are equal.

A solid cylinder of diameter 12 cm and height 15 cm is melted and recast into 12 toys in the shape of a right circular cone mounted on a hemisphere. Find the radius of the hemisphere and total height of the toy, if height of the cone is three times the radius.

A right circular cone of diameter r cm and height 12 cm rests on the base of a right circular cylinder of radius r cm. Their bases are in the same plane and the cylinder is filled with water upto a height of 12 cm. If the cone is removed, find the height to which water level fall.