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 cm^{2}. 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 cm^{2} and volume is 19404 cm^{3}, what is its radius?
42 cm
21 cm
10.5 cm
31.5 cm