If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is:

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? 

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 total surface area of a sphere of radius r cm is equal to the total surface area of a cube of side s cm, which of the following is true?

The circumference of the base of a right circular cone is 44 cm and its height is 24 cm. The curved surface area (in cm²) of the cone is: (Taken π=22/7)

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 diameter of the base of a right-circular cylinder is 12 cm and the height of the cylinder is 2.45 times the radius of its base. Find the curved surface area of the cylinder. [Use π=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?