Question : The total surface area of a cylinder is 4092 cm² and the diameter of its base is 21 cm. What is 50% volume (in cm³) of the cylinder (nearest to an integer)?

Option 1: 8832

Option 2: 8822

Option 3: 8922

Option 4: 8932

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 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 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 lateral surface area of a frustum of a right circular cone, if the area of its base is 16$\pi$ cm², the diameter of the circular upper surface is 4 cm and the slant height is 6 cm, will be:

Option 1: $30\pi$ cm²

Option 2: $48\pi$ cm²

Option 3: $36\pi$ cm²

Option 4: $60\pi$ cm²

Question : The height of a solid cylinder is 35 cm. The circumference of its base is 37 cm more than the radius. What will be the volume of this cylinder?

Option 1: 4740 cm³

Option 2: 4850 cm³

Option 3: 5390 cm³

Option 4: 4420 cm³