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in a building there are 24 cylindrical pillars. the radius of each pillar is 28 cm and height is 4 m. find the total cost of painting the curved surface area of all pillars at the rate of rs 8 per m²

User Badola
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Final answer:

To find the total cost of painting the curved surface area of 24 cylindrical pillars, calculate the curved surface area of one pillar, multiply it by the number of pillars, and then multiply by the cost per m². The total cost is Rs 1708.8.

Step-by-step explanation:

To find the total cost of painting the curved surface area of all 24 cylindrical pillars, we first need to calculate the curved surface area of one pillar. The formula for the curved surface area of a cylinder is given by A = 2πrh, where r is the radius and h is the height. Using the given values, we have r = 28 cm (0.28 m) and h = 4 m. Substituting these values into the formula, we get A = 2π(0.28)(4) = 8.9 m². The total curved surface area of all 24 pillars is then 24(8.9) = 213.6 m².

The cost of painting the curved surface area is given as Rs 8 per m². Multiplying the total curved surface area by the cost per m², we get 213.6 × 8 = Rs 1708.8.

Therefore, the total cost of painting the curved surface area of all 24 pillars is Rs 1708.8.

User Madarco
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