If a cubical container of length, breadth and height each of 10 cm can contain cxactly 1 litre of water, then a spherical container of radium 10l5 cm can contain

The correct answer is Option 3. To determine the capacity of the spherical container, we first establish the relationship between volume and litres. A cube of 10 cm sides has a volume of 1,000 cm³, which equals 1 litre.

The radius of the spherical container is given as 10/5 cm, which simplifies to 2 cm. However, based on the context of the question and the provided answer, the radius is intended to be 10.5 cm. Using the formula for the volume of a sphere, V = (4/3)πr³:

• V = (4/3) × (22/7) × (10.5)³
• V = (4/3) × (22/7) × 1157.625
• V = 4,851 cm³

Since 1,000 cm³ = 1 litre, the volume is 4.851 litres. This value is clearly more than 4.5 litres but less than 5 litres, making Option 3 mathematically correct. Options 1, 2, and 4 are incorrect as they fall outside this calculated range.