The capacities of two hemispherical vessel are 2.7 litres and 12.5 litres. Find the ratio of the areas of the inner curved surface of the vessels.
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 9 : 25
Volume of the first hemisphere = 2/3 (πr13) = 2.7........1
Volume of the second hemisphere = 2/3 (πr23) = 1.25.....2
Eq 1 divided by 2
r13/r23 = 2.7/1.25
r1/r2 = 3/5
The ratio of the areas of the inner curved surface of the vessels.
(2πr12) : (2πr22) = (2π × 9) : (2π × 25) = 9 : 25