Multiple choice

A cylindrical vessel contains 33,164 cubic centimetres of a liquid. The cost of painting its curved surface area at 2 paise/sq. cm is Rs. 95.04. Its approximate total surface area is

  1. 5724 cm2

  2. 5976 cm2

  3. 5742 cm2

  4. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Curved surface area (CSA) = Cost / Rate = 95.04 / 0.02 = 4752 cm^2. Given volume V = 33164 = pi * r^2 * h and CSA = 2 * pi * r * h = 4752. Dividing V by CSA/2 gives r = 33164 / 2376 = 13.95, approx 14 cm. Then h = 4752 / (2 * pi * 14) approx 54 cm. Total surface area = CSA + 2 * pi * r^2 = 4752 + 2 * pi * 196 approx 4752 + 1231.5 = 5983.5 cm^2, which is closest to 5976.

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