Question : If the surface area of two spheres is in the ratio 81 : 25, then what is the ratio of their radius?

Option 1: 5 : 8

Option 2: 7 : 9

Option 3: 5 : 7

Option 4: 9 : 5

Question : The surface areas of the two spheres are in the ratio of 64 : 81. Find the ratio of their volumes, in the order given.

Option 1: 512 : 729

Option 2: 64 : 729

Option 3: 8 : 81

Option 4: 4 : 9

Question : The radius of a sphere and that of the base of a cylinder are equal. The ratio of the radius of the base of the cylinder and the height of the cylinder is 3 : 4. What is the ratio of the volume of the sphere to that of the cylinder?

Option 1: 27 : 64

Option 2: 1 : 2

Option 3: 1 : 1

Option 4: 9 : 16

Question : The ratio of the volume of two cylinders is 27 : 25 and the ratio of their heights is 3 : 4. If the area of the base of the second cylinder is 3850 cm², then what will be the radius of the first cylinder?

Option 1: 42 cm

Option 2: 56 cm

Option 3: 63 cm

Option 4: 34 cm

Question : If the radius of a sphere is $\frac{3}{4}$th of the radius of a hemisphere, then what will be the ratio of the volumes of sphere and hemisphere?

Option 1: 9 : 16

Option 2: 51 : 64

Option 3: 27 : 32

Option 4: 18 : 64