The height of a cone is 40 cm. A small cone is cut off at the top by a plane parallel to its base. If the volume of a small cone is `1/64` of the volume of the given cone, at what height above the base is the section 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)/(27) of the volume of the given cone, at what height above the base the section has been made?

The height of a cone is 20 cm. A small cone is cut off from the top by a plane parallel to the base. If its volume be 1//125 of the volume of the original cone, determine at what height above the base the section is made.

The height of a cone is 60cm. A small cone is cut off at the top by a plane parallel to the base and is volume is 1/(64)t h the volume of original cone. The height from the base at which the section is made is: (a) 15cm (b) 30cm (c) 45cm (d) 20cm

The height of a solid cone is 30 cm. A small cone is cut off from the top of it such that the base of the cone cut off and the base of the given cone are parallel to each other. If the volume of the cone cut and the volume of the original cone are in the ratio 1:27, find the height of the the remaining part of the given cone.

A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is:

The height of a cone is 15cm. If its volume is 500pi\ c m^3 , then find the radius of its base.

The height of a cone is 7 cm and its radius of base is 3 cm. Find its volume.

The height of a solid cone is 12cm and the area of the circular base is 64pi cm^2 .A plane parallel to the base of the cone cuts through the cone 9cm above the vertex of the cone ,the area of the base of the new cone so formed is a) 9picm^2 b) 16picm^2 c) 25picm^2 d) 36picm^2

The ratio of the heights of two cones of same base is 4 : 3. If the volume of small cone is 462 pi cm^(3) , then find the volume of new cone.

The height of a cone is equal to the radius of its base. The radius of a sphere is equal to the radius of the base of the cone. The ratio of the volume of the cone to the volume of the sphere is