2018 · Q36
If a cubical container of length, breadth and height each of 10 cm can contain exactly 1 litre of water, then a spherical container of radius 10.5 cm can contain
general-mental-abilityquantitative-aptitude
- Anot more than 4 litres of water
- Bmore than 4 litres but less than 4.5 litres of water
- Cmore than 4.5 litres but less than 5 litres of water
- Dmore than 5 litres of water
Explanation
A sphere of radius 10.5 cm has volume (4/3)π(10.5)³ ≈ 4.18879 × 1157.625 ≈ 4849 cm³, i.e. about 4.85 litres. That is more than 4.5 litres but less than 5 litres. The distractors under- or over-estimate the cubic scaling of volume with radius. Hence option C.