Multiple choice

A cylindrical pillar is $50$ cm in diameter and $3.5$ m in height. Find the cost of painting the curved surface of the pillar at the rate of Rs $12.50/m^2$.

  1. Rs. $47.50$
  2. Rs. $56.12$
  3. Rs. $68.75$
  4. Rs. $75.12$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Diameter = 0.5 m, r = 0.25 m, h = 3.5 m. Curved surface area = 2 * pi * r * h = 2 * (22/7) * 0.25 * 3.5 = 5.5 m^2. Cost = 5.5 * 12.50 = 68.75.

AI explanation

The curved surface area of a cylinder is 2 * pi * r * h, where the radius is 25 cm and the height is 3.5 m. Multiplying 2 by 22/7 by 0.25 m by 3.5 m gives a curved surface area of 5.5 m^2. Multiplying this area by the painting rate of Rs 12.50 results in Rs 68.75.