A cone is inscribed in a sphere of radius 12 cm. If the volume of the cone is maximum, find its height.

A right circular cone whose base radius is 4 is inscribed in a sphere of radius 5. what is the ratio of the volume of the cone to the volume of the sphere?

Prove that the volume of the largest cone, that can be inscribed in a sphere of radius Rdot\ is 8/(27)\ of the volume of the sphere.

The curved surface area of a cone is 12320 cm^(2). If the radius of its base is 56 cm, find its height.

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is 4r/3. Also, find maximum volume in terms of volume of the sphere.

A cone of a radius 5 cm is filled with water. If the water poured in a cylinder of radius 10cm, the height of the water rises 2 cm, find the height of the cone.

A cone of a radius 5cm is filled with water. If the water poured in a cylinder of radius 10cm, the height of the water rises 2cm, find the height of the cone.

Show that the altitude of the right circular cone of maximum volume that can be inscribed in a sphere of radius r is (4R)/3dot Also find maximum volume in terms of volume of the sphere.

If a cone of maximum volume is inscribed in a given sphere, then the ratio of the height of the cone to the diameter of the sphere is 3//4 (b) 1//3 (c) 1//4 (d) 2//3

The volume of a right circular cone is 9856 c m^3 . If the diameter of the base is 28cm, find: (i) height of the cone (ii) slant height of the cone (iii) curved surface area of the cone.

The surface area of a sphere of radius 5 cm is five times the curved surface area of a cone of radius 4 cm. Find the height and volume (correct to two decimal places) of the cone.