NumericalModerate3 marks
Oil is stored in a spherical vessel occupying 3/4 of its full capacity. Radius of this spherical vessel is 28 cm. This oil is then poured into a cylindrical vessel with a radius of 21 cm. Find the height of the oil in the cylindrical vessel (correct to the nearest cm). Take π = 22/7
Topic: Mensuration of solids
Previous-year question practice database
Answer
Exam answer
Height of oil in cylinder ≈ 49.8 cm.
Explanation
Oil volume = 3/4 of sphere = π·28³. Cylinder volume π·21²·h. Hence h=28³/21²≈49.8 cm.
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