Question : A cylindrical tank of capacity $64\pi$ litres has equal height and radius. What would be the radius of the cylinder? (1 litre = 1000 cm³)

Option 1: 5 cm

Option 2: 40 cm

Option 3: 50 cm

Option 4: 4 cm

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 : What is the total surface area of a solid right circular cylinder of radius 7 cm and height 8 cm?$(\pi=\frac{22}{7})$

Option 1: 560 cm²

Option 2: 660 cm²

Option 3: 850 cm²

Option 4: 760 cm²

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 ratio between the height and radius of the base of a cylinder is 7 : 5. If its volume is 14836.5 cm³, then find its total surface area (take $\pi$ = 3.14).

Option 1: 3391.2 cm²

Option 2: 5391.2 cm²

Option 3: 4391.2 cm²

Option 4: 5591.2 cm²

Question : The ratio of the radius of the base and the height of a solid right circular cylinder is 2 : 3. If its volume is 202.125 cm³, then its total surface area is: (Take $\pi=\frac{22}{7}$)

Option 1: 192.5 cm²

Option 2: 154 cm²

Option 3: 168 cm²

Option 4: 115.5 cm²