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Volume of sphere V = ---, when diameter of sphere is d

If the radius of a sphere is equal to the diameter of a hemisphere. Find the ratio of volume of sphere to that of the hemisphere.

Three solid spheres of diameters 6 cm, 8 cm and 10 cm are melted to form a single solid sphere. The diameter of the new sphere is

The sum of the surface areas of a sphere and a cube is given.Show that when the sum of their volumes is least,the diameter of the sphere is equal to the edge of the cube.

(i) The numberical value of the volume and surface of a sphere are equal. Find the diameter of the sphere. (ii) The curved surved surface of a sphere is equal to the area of a circle of radius 2.8 cm. Find the volume of the sphere.

The ratio between the height of a right circular cone of maximum volume inscribed in given sphere and the diameter of the sphere is

A cone of height 20 cm and radius of base 5 cm is made up of modelling clay. A child reshpes it in the form of a sphere. Find the diameter of the sphere.

Three solid metallic spheres of diameters 6 cm, 8 cm and 10 cm are melted and recast into a new solid sphere. The diameter of the new sphere is :

The volume of a cone is equal to that of sphere. If the diameter of base of cone is equal to the diameter of the sphere, what is the ratio of height of cone to the diameter of the sphere ?