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Q36 (CAPF/2018) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics Answer Verified

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

Result
Your answer: —  Â·  Correct: C
Explanation

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.

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