Find the cost of painting the outer surface of a hollow cylindrical pipe of radius 2 m andheight 21 m at the rate of ` 5 per m2.
Question
Find the cost of painting the outer surface of a hollow cylindrical pipe of radius 2 m and height 21 m at the rate of ₹ 5 per m².
Solution
Sure, here are the steps to find the cost of painting the outer surface of a hollow cylindrical pipe:
Step 1: First, we need to calculate the outer surface area of the cylindrical pipe. The formula for the surface area of a cylinder is 2πrh, where r is the radius and h is the height.
Step 2: Substitute the given values into the formula. The radius r is 2 m and the height h is 21 m. So, the surface area = 2 * π * 2 m * 21 m = 264 square meters.
Step 3: Now, we know that the cost of painting per square meter is ` 5. So, to find the total cost of painting, we multiply the surface area by the cost per square meter.
Step 4: The total cost of painting = 264 m^2 * 5 =
1320.
So, the cost of painting the outer surface of the hollow cylindrical pipe is ` 1320.
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