Question : A cone and a cylinder have the same height and the radius of the cone is twice of the radius of the cylinder: What is the ratio of the volume of the cone to that of the cylinder?

Option 1: 2 : 5

Option 2: 4 : 5

Option 3: 3 : 2

Option 4: 4 : 3

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 : If the radius of a cylinder is decreased by 12%, then by how much percentage must its height be increased so that the volume of the cylinder remains the same?

Option 1: 29.13%

Option 2: 21.78%

Option 3: 42.56%

Option 4: 34.27%

Question : The radius of a right circular cylinder is thrice of its height. If the height of the cylinder is 3.5 cm, what is the volume of the cylinder?

Option 1: 1124.25 cm³

Option 2: 1324.75 cm³

Option 3: 1468.25 cm³

Option 4: 1212.75 cm³

Question : The ratio of radii of a cylinder to a cone is 3 : 1. If their heights are equal, What is the ratio of their volumes?

Option 1: 1 : 3

Option 2: 27 : 1

Option 3: 9 : 1

Option 4: 1 : 9

Question : If the radius of a cylinder is decreased by 16 percent, then by how much percent its height must be increased so that the volume of the cylinder remains the same.

Option 1: 32.96 percent

Option 2: 41.72 percent

Option 3: 45.28 percent

Option 4: 36.43 percent