Question : A right circular cylinder of the maximum possible size is cut out from a solid wooden cube. The remaining material of the cube is what percentage of the original cube? (Take $\pi=3.14$)

Option 1: 22.4

Option 2: 21.5

Option 3: 22.8

Option 4: 21.8

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 radius of the base of a solid right circular cone is 8 cm and its height is 15 cm. The total surface area of the cone is:

Option 1: 200$\pi$

Option 2: 120$\pi$

Option 3: 136$\pi$

Option 4: 128$\pi$

Question : The volume of a solid right circular cone is $600 \pi \;\text{cm}^3$ and the diameter of its base is 30 cm. The total surface area (in cm²) of the cone is:

Option 1: $480 \pi$

Option 2: $255 \pi$

Option 3: $472 \pi$

Option 4: $496 \pi$

Question : A solid right circular cylinder and solid hemisphere stand on equal bases and have the same height. The ratio of their whole surface area is:

Option 1: 3 : 2

Option 2: 3 : 4

Option 3: 4 : 3

Option 4: 2 : 3

Question : The cost of painting the total surface area of a 30 m high solid right circular cylinder at the rate of Rs. 25 per m² is Rs. 18,425. What is the volume (in m³) of this cylinder [use $\pi=\frac{22}{7}$ ]?

Option 1: 1145

Option 2: 1210

Option 3: 1155

Option 4: 1122