Multiple choice

A cylindrical vessel open at the top has a base diameter of 56 cm. If the total cost of painting the outer curved surface of the vessel is Rs 352 at the rate of Rs 0.2 per $100{ cm }^{ 2 },$ then the height of the vessel is

  1. $15 m$
  2. $10 m$
  3. $6 m$
  4. $12 m$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Curved surface area (CSA) = 2 * pi * r * h. Diameter = 56 cm, so r = 28 cm. Cost = 352 Rs at 0.2 Rs per 100 cm^2 means total area = (352 / 0.2) * 100 = 176,000 cm^2. 2 * (22/7) * 28 * h = 176,000. 176 * h = 176,000, so h = 1000 cm = 10 m.

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