Question : The curved surface area and circumference at the base of a solid right circular cylinder are 2200 cm² and 110 cm, respectively. Find the height of the cylinder.

Option 1: 24 cm

Option 2: 22 cm

Option 3: 20 cm

Option 4: 18 cm

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 : A sphere of radius 18 cm is melted and then a solid cylinder of base radius 4 cm is made from it. What is the height of the solid cylinder?

Option 1: 196 cm

Option 2: 486 cm

Option 3: 224 cm

Option 4: 384 cm

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