Question : The height and curved surface area of a right circular cylinder are $7~\text{cm}$ and $70\pi~\text{cm}^2$. Its total surface area is:

Option 1: $140 \pi~\text{cm}^2$

Option 2: $150 \pi~\text{cm}^2$

Option 3: $180 \pi~\text{cm}^2$

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

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 : The total surface area of a right circular cylinder is 1848 cm². The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)

Option 1: 4312 cm³ 

Option 2: 3696 cm³ 

Option 3: 4002 cm³ 

Option 4: 4851 cm³ 

Question : The diameter of a hemisphere is equal to the diagonal of a rectangle of length 4 cm and breadth 3 cm. Find the total surface area (in cm²) of the hemisphere.

Option 1: $25 \pi$

Option 2: $\frac{75 \pi}{4}$

Option 3: $\frac{50 \pi}{4}$

Option 4: $\frac{25 \pi}{4}$

Question : A sphere is of radius 5 cm. What is the surface area of the sphere?

Option 1: $100 \pi \;\mathrm{cm^2}$

Option 2: $150 \pi \;\mathrm{cm^2}$

Option 3: $200 \pi\;\mathrm{cm^2}$

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