A solid metallic sphere of radius 12 cm is melted and recast into a cone having diameter of the base as 12 cm. What is the height of the cone?

A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3? (Take л = 22/7)

The sum of the radii of spheres A and B is 14 cm, the radius of A being larger than that of B. The difference between their surface areas is 112 π . What is the ratio of the volumes of A and B?

A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?

The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.

The areas of three adjacent faces of a cuboidal tank are 3 m², 12 m² and 16 m². The capacity of the tank, in litres, is:

The height of a solid cylinder is 30 cm and the diameter of its base is 10 cm. Two identical conical holes each of radius 5 cm and height 12 cm are drilled out. What is the surface area (in cm²) of the remaining solid?

If the height is doubled and the base is decreased by 20%, then the ratio of old area of the triangle and new area of the triangle is –