Question : If the base radius and the height of a right circular cone are increased by 10%, then the percentage increase in the volume is:

Option 1: 30.2%

Option 2: 22.1%

Option 3: 33.1%

Option 4: 20.2%

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 : If the height of the cylinder is increased by 35% and the radius is increased by 10%, what will be the percentage increase in the curved surface area of a cylinder?

Option 1: 46.5

Option 2: 45

Option 3: 48.5

Option 4: 49.7

Question : The radius of the ends of a frustum of a solid right-circular cone 45 cm high is 28 cm and 7 cm. If this frustum is melted and reconstructed into a solid right circular cylinder whose radius of base and height are in the ratio 3: 5, find the curved surface area (in ${cm}^2$ ) of this cylinder. [Use $\pi=\frac{22}{7}$.]

Option 1: 4580

Option 2: 4610

Option 3: 4640

Option 4: 4620

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: $180\pi$