Question : The volume of a cylinder is 4312 cm³. Its curved surface area is one-third of its total surface area. Its curved surface area (in cm²) is:
(Take $\pi=\frac{22}{7}$ )

Option 1: 572 cm²

Option 2: 528 cm²

Option 3: 660 cm²

Option 4: 616 cm²

Question : The volume of a solid right circular cylinder of height 8 cm is $392 \pi$ cm³. Its curved surface area (in cm²) is:

Option 1: $161 \pi$

Option 2: $96 \pi$

Option 3: $210 \pi$

Option 4: $112 \pi$

Question : The sum of the curved surface area and the total surface area of a solid cylinder is 2068 cm². If the radius of its base is 7 cm, then what is the volume of this cylinder? (use $\pi=\frac{22}{7}$)

Option 1: 2060 cm³

Option 2: 2480 cm³

Option 3: 3080 cm³

Option 4: 2760 cm³

Question : The curved surface area of a solid circular cylinder of height 12 cm is 2640 cm². What is the volume (in cm³) of the cylinder? (Take $\pi =\frac{22}{7}$)

Option 1: 46200

Option 2: 37900

Option 3: 42000

Option 4: 55200

Question : The volume of a cone with a height equal to the radius and slant height of 5 cm is:

Option 1: $\frac{125 \pi}{12 \sqrt{3}} \mathrm{~cm}^3$

Option 2: $\frac{125 \pi}{6 \sqrt{3}} \mathrm{~cm}^3$

Option 3: $\frac{125 \pi}{12 \sqrt{2}} \mathrm{~cm}^3$

Option 4: $\frac{125 \pi}{6 \sqrt{2}} \mathrm{~cm}^3$