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?

If the volume and curved surface area of a cylinder 616 𝐦𝟑 and 352m2 respectively, what is the total surface area of the cylinder (in 𝐦𝟐)?

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?

The volume of a right rectangular pyramid is 220 m³. What is the height of the pyramid, if the area of its base is 55 m²? 

If a regular polygon has 16 sides, then what is the measure (in degrees) of its each interior angle?

The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (Use π=22/7)

A pole 23 m long reaches a window which is 3 m above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window 4 is m high. What is the width (in m) of the street? 

If the areas of two isosceles triangles are in the ratio of X² : Y², then the ratio of their corresponding heights is: