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If the diamtere of the base of the cyndrical pillars is 4 m and its height is 21 m, then the cost of construction of the piilar at Rs. 1.50 per cubic metre is.ARs.396

Question

If the diamtere of the base of the cyndrical pillars is 4 m and its height is 21 m, then the cost of construction of the piilar at Rs. 1.50 per cubic metre is.ARs.396

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Solution

To solve this problem, we need to find the volume of the cylindrical pillar first. The formula for the volume of a cylinder is πr²h, where r is the radius and h is the height.

Step 1: Find the radius. The diameter is given as 4m, so the radius (r) is half of the diameter, which is 2m.

Step 2: Substitute the radius and the height into the volume formula. The height (h) is given as 21m. So, the volume (V) is π*(2m)²*(21m) = 84π cubic meters.

Step 3: Find the cost of construction. The cost is given as Rs. 1.50 per cubic meter. So, the total cost (C) is 84π * Rs. 1.50 = Rs. 396.

Therefore, the cost of construction of the pillar is Rs. 396.

This problem has been solved

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