Question : The radius of a sphere is 14 cm. What is the surface area of this sphere? [Use $\pi=\frac{22}{7}$]

Option 1: 2464 cm²

Option 2: 1232 cm²

Option 3: 1848 cm²

Option 4: 616 cm²

Question : The Largest possible sphere is carved out of a cube of side 6 cm. What is the volume of the sphere?

Option 1: $\frac{792}{7}$ cm³

Option 2: $\frac{144}{7}$ cm³

Option 3: $\frac{133}{3}$ cm³

Option 4: $\frac{144}{3}$ cm³

Question : The breadth of a rectangle is $\frac{4}{5}$th of the radius of a circle. The radius of the circle is $\frac{1}{5}$ of the side of a square, whose area is 625 cm². What is the area of the rectangle if the length of the rectangle is 20 cm?

Option 1: 150 cm²

Option 2: 600 cm²

Option 3: 100 cm²

Option 4: 80 cm²

Question : Find $\frac{1}{21}$th of the volume of a hemisphere whose radius is 4.2 m.

Option 1: 6.6 m³

Option 2: 7.3 m³

Option 3: 8.2 m³

Option 4: 7.1 m³

Question : The diameter of a sphere is 14.7 metres. What will be the volume of the sphere?

Option 1: 1663.893 m³

Option 2: 1873.487 m³

Option 3: 1693.563 m³

Option 4: 1783.723 m³