Final answer:
The cost of painting 10 cylinders is calculated by finding the lateral surface area of one cylinder and multiplying by the number of pillars and the cost per square meter. The total cost comes out to be ₹1,155.
Step-by-step explanation:
We need to calculate the cost of painting 10 cylindrical pillars. The cost of painting is given as ₹3.50 per square meter. To find the total surface area to be painted for one pillar, we use the formula for the lateral surface area of a cylinder, which is 2πrh, where r is the radius and h is the height. Since the diameter of each pillar is 24cm which makes the radius 12cm (or 0.12m), and the height is 7m, we can substitute these values into the formula.
The lateral surface area for one pillar is 2 x π x 0.12m x 7m = 5.28π square meters. For 10 pillars, the total area is 10 x 5.28π square meters. We can then compute the cost by multiplying the total area by the cost per square meter (₹3.50).
Cost = Total Area x Cost per square meter = 10 x 5.28π x ₹3.50.
After calculating, we find that the cost of painting all 10 pillars is ₹1,155.