Question:
In a building there are 30 cylindrical pillars. The radius of each pillar is 35 cm and height is 5 m. Find out the
cost of painting the curved surface of half the number of pillars. The rate of painting is Rs.10 per m2 .
In a building there are 30 cylindrical pillars. The radius of each pillar is 35 cm and height is 5 m. Find out the
cost of painting the curved surface of half the number of pillars. The rate of painting is Rs.10 per m2 .
cost of painting the curved surface of half the number of pillars. The rate of painting is Rs.10 per m2 .
Updated On: Dec 21, 2025
- Rs. 8250
- Rs. 16,500
- Rs. 1650
- Rs. 4125
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The Correct Option is C
Solution and Explanation
To find the cost of painting the curved surface of half the number of pillars, we first need to calculate the curved surface area of a single pillar and then determine the cost based on the given rate per square meter.
- Identify the given values:
- Number of cylindrical pillars: 30
- Radius of each pillar: 35 cm
- Height of each pillar: 5 m
- Rate of painting: Rs. 10 per m2
- Convert the radius from centimeters to meters:
- Radius = 35 cm = 0.35 m
- Calculate the curved surface area (CSA) of one cylindrical pillar using the formula: \(CSA = 2\pi rh\), where \(r\) is the radius and \(h\) is the height.
- \(CSA = 2 \times \frac{22}{7} \times 0.35 \times 5\)
- \(CSA = 2 \times \frac{22}{7} \times 1.75\)
- \(CSA = 2 \times 5.5\)
- \(CSA = 11\, \text{m}^2\)
- Calculate the total curved surface area for half the pillars (15 pillars):
- Total CSA for 15 pillars = \(15 \times 11 = 165 \, \text{m}^2\)
- Determine the cost of painting:
- Total cost = \(165 \times 10 = \text{Rs. } 1650\)
Therefore, the cost of painting the curved surface of half the number of pillars is Rs. 1650.
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