Question : If the radius of a sphere increases by 10%, what would be the change in the surface area of the sphere?

Option 1: 20%

Option 2: 21%

Option 3: 31%

Option 4: 25%

Question : Which of the following statements is not correct?

Option 1: For a given radius and height, a right circular cone has a lesser volume than a right circular cylinder.

Option 2: If the side of a cube is increased by 10%, the volume will increase by 33.1%.

Option 3: If the radius of a sphere is increased by 20%, the surface area will increase by 40%.

Option 4: Cutting a sphere into 2 parts does not change the total volume.

Question : When the radius of a sphere is increased by 5 cm, its surface area increases by 704 cm². The diameter of the original sphere is _________. (Take $\pi=22 / 7$ )

Option 1: 8.2 cm

Option 2: 6.8 cm

Option 3: 5.2 cm

Option 4: 6.2 cm

Question : A sphere is of radius 5 cm. What is the surface area of the sphere?

Option 1: $100 \pi \;\mathrm{cm^2}$

Option 2: $150 \pi \;\mathrm{cm^2}$

Option 3: $200 \pi\;\mathrm{cm^2}$

Option 4: $120 \pi\;\mathrm{cm^2}$

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