Question : The radius of the base of a solid cone is 9 cm, and its height is 21 cm. It was cut into three parts by two cuts, which were parallel to its base. The cuts are at a height of 7 cm and 14 cm from the base, respectively. What is the ratio of the curved surface area of the top, middle, and bottom parts, respectively?

Option 1: $1 : 4: 8$

Option 2: $1 : 3: 5$

Option 3: $1 : 3: 9$

Option 4: $1: 6: 12$

Question : The curved surface area of a right circular cylinder of height 56 cm is 1408 cm². Find the diameter of the base of the cylinder.

Option 1: 8 m

Option 2: 0.04 m

Option 3: 0.08 m

Option 4: 0.008 m

Question : The height and the total surface area of a right circular cylinder are 4 cm and 8$\pi$ sq cm, respectively. The radius of the base of the cylinder is:

Option 1: $\left ( 2\sqrt{2}-2 \right )\ \text{cm}$

Option 2: $\left ( 2-\sqrt{2}\right )\ \text{cm}$

Option 3: $2\ \text{cm}$

Option 4: $\sqrt{2}\ \text{cm}$

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 : The curved surface area of a right circular cone of a base radius of 21 cm is 594 sq. cm. What is the slant height of the cone?

Option 1: 15 cm

Option 2: 11 cm

Option 3: 9 cm

Option 4: 6 cm