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 : If the radius of the base, and the height of a right circular cone are increased by 20%, what is the approximate percentage increase in volume?

Option 1: 60

Option 2: 68.8

Option 3: 72.8

Option 4: 75

Question : The height and the radius of the base of a right circular cone are in the ratio of 12 : 5. If its volume is 314 cm³, then what is the slant height of the cone? (Use $\pi$ = 3.14)

Option 1: 12 cm

Option 2: 11 cm

Option 3: 13 cm

Option 4: 14 cm

Question : The volume of a right circular cone having a base diameter of 14 cm is 196$\pi$ cm³. Find the perpendicular height of this cone

Option 1: 10 cm

Option 2: 12 cm

Option 3: 14 cm

Option 4: 8 cm

Question : The curved surface area of a right circular cone is $156 \pi$ and the radius of its base is 12 cm. What is the volume of the cone, in cm³?

Option 1: $192 \pi$

Option 2: $210 \pi$

Option 3: $240 \pi$

Option 4: $180\pi$