Question : The side of a square is equal to 40% of the radius of a sphere. If the volume of the sphere is $\frac{500 \pi}{3} \mathrm{~m}^3$, then what is the area of the square?

Option 1: 2 m²

Option 2: 1 m²

Option 3: 9 m²

Option 4: 4 m²

Question : The difference between the length and breadth of a rectangle is 40 metres. If its perimeter is 96 metres, then what will be the area of the rectangle?

Option 1: 254 m²

Option 2: 110 m²

Option 3: 176 m²

Option 4: 152 m²

Question : The length of two parallel sides of a trapezium are 25 metres and 30 metres. If its height is 20 metres, then what is the area of the trapezium?

Option 1: 420 m²

Option 2: 350 m²

Option 3: 590 m²

Option 4: 550 m²

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 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