Question : The curved surface area of a solid cylinder of height 15 cm is 660 cm². What is the volume (in cm³) of the cylinder? $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$

Option 1: 2060

Option 2: 2540

Option 3: 2310

Option 4: 3210

Question : The height of a cylinder is $\frac{2}{3}$rd of its diameter. Its volume is equal to the volume of a sphere whose radius is 4 cm. What is the curved surface area (in cm²) of the cylinder?

Option 1: $\frac{112}{3} \pi$

Option 2: $32 \pi$

Option 3: $\frac{128}{3} \pi$

Option 4: $40 \pi$

Question : A cylinder of height 8 cm and radius 6 cm is melted and converted into three cones of the same radius and height of the cylinder. Determine the total curved surface area of cones.

Option 1: $180 \pi\operatorname{cm^2}$

Option 2: $60 \pi\operatorname{cm^2}$

Option 3: $144 \pi\operatorname{cm^2}$

Option 4: $120 \pi\operatorname{cm^2}$

Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}+\left(2 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:

Option 1: $\frac{7}{2}$

Option 2: $3$

Option 3: $5$

Option 4: $\frac{9}{4}$

Question : Water is flowing through a cylindrical canal with an internal diameter of 7 m at the speed of 18 km/hr. Find the volume of water flowing through the canal in 30 minutes. (take $\pi=\frac{22}{7}$)

Option 1: 3,76,500 m³

Option 2: 3,56,500 m³

Option 3: 3,66,500 m³

Option 4: 3,46,500 m³