The difference in radii of the circular ends of a bucket is 20 cm. If the height of the bucket is 15 cm, its slant height will be

• 25 cm

• 28 cm

• 30 cm

• 30 cm

The ratio of the volume of a cube to that of a sphere, which will exactly fit inside the cube is

Each of the height and radius of the base of a right circular cone is increased by 100%. The volume of the cone will be increased by

• 700%

• 500%

• 300%

   

• 300%

   

The radius of the base of a right circular cylinder is 3.5 cm and its height is 7.5 cm. The ratio of the total surface area of the cylinder is to its curved surface area is

• 22 : 5

• 22 : 15

• 22 : 7

• 22 : 7

If each of two opposite sides of a square is increased by 4 cm and each of other two sides is decreased by 4 cm, we obtain a rectangle of area 84 cm². What is the perimeter (in cm) of the original square?

• 40

• 44

• 48

• 48

A cube of side 1 metre is reduced 3 times in the ratio 1 : 2. The area of one face of the reduced cube to that of the original cube is in the ratio

• 1 : 4

• 1 : 8

• 1 : 16

• 1 : 16

If the surface areas of two spheres are in the ratio 9 : 16, the ratio of their volumes is

• 16 : 9

• 27 : 64

• 64 : 27

• 64 : 27

A right circular cone and a right circular cylinder have the same base and their heights are in the ratio 2 : 3. The ratio of their volumes will be

• 1 : 9

• 4 : 9

• 5 : 9

• 5 : 9

A cone, a cylinder and a hemisphere stand on equal bases and have equal heights. The ratio of their volumes is

• 2 : 3 : 1

• 2 : 1 : 3

• 1 : 3 : 2

• 1 : 3 : 2

The curved surface area of a hemisphere is 2772 cm² and volume is 19404 cm³, what is its radius? 

• 42 cm

• 21 cm

• 10.5 cm

• 31.5 cm