A sphere inscribes a cone of radius 3 cm and height 3√2 cm. Find the surface area (in cm2) of the sphere. [π = 227]

A metallic solid cylinder of a given radius and height 9 cm is melted and recast into a solid cone of the same base radius. What is the height of the cone (in cm)?

A solid metallic sphere of radius 12 cm is melted to form a solid cylinder of base radius 8 cm. What is the height of the cylinder so formed?