Question : The radius of a hemisphere is twice that of a sphere. What is the ratio of the total surface area of the hemisphere and sphere?

Option 1: 3 : 1

Option 2: 12 : 1

Option 3: 4 : 1

Option 4: 6 : 1

Question : Let A and B be two cylinders such that the capacity of A is the same as that of B. The ratio of the diameters of A and B is 1 : 4. What is the ratio of the heights of A and B?

Option 1: 16 : 1

Option 2: 16 : 3

Option 3: 3 : 16

Option 4: 1 : 16

Question : If the radius of a circle is increased by 16%, its area increases by 

Option 1: 34.56%

Option 2: 32%

Option 3: 16%

Option 4: 17.28%

Question : The area of the sector of a circle is 128 cm². If the length of the arc of that sector is 64 cm, then find the radius of the circle.

Option 1: 4 cm

Option 2: 8 cm

Option 3: 2 cm

Option 4: 16 cm

Question : If the radius of a circle is increased by 10%, what will be the percentage increase in the area of the circle?

Option 1: 19

Option 2: 20

Option 3: 21

Option 4: 23