Find the cost of sinking a tube well 350 m deep, having a diameter of 4 m at the rate of Rs 16 per m³. Find also the cost of cementing its inner curved surface at Rs 12 per m²
To find the cost of sinking a tube well 350 m deep with a diameter of 4 m, we need to calculate the volume of the well and then multiply it by the cost per cubic meter.
The volume of a cylinder (which represents the well) can be calculated using the formula:
Volume = π * r^2 * h
Given:
Diameter of the well = 4 m
Radius (r) = Diameter / 2 = 4 / 2 = 2 m
Depth (h) = 350 m
Substituting these values into the formula, we have:
Volume = π * (2^2) * 350
Volume = 4π * 350
Volume = 1400π cubic meters
Now, we can calculate the cost of sinking the well by multiplying the volume by the cost per cubic meter:
Cost of sinking = Volume * Cost per cubic meter
Cost of sinking = 1400π * Rs 16
To find the cost of cementing the inner curved surface of the well, we need to calculate the surface area of the inner curved surface and then multiply it by the cost per square meter.
The surface area of the inner curved surface of a cylinder can be calculated using the formula:
Surface area = 2πrh
Given:
Radius (r) = 2 m
Depth (h) = 350 m
Substituting these values into the formula, we have:
Surface area = 2π * 2 * 350
Surface area = 1400π square meters
Now, we can calculate the cost of cementing the inner curved surface by multiplying the surface area by the cost per square meter:
Cost of cementing = Surface area * Cost per square meter
Cost of cementing = 1400π * Rs 12
Therefore, the cost of sinking the tube well is 1400π * Rs 16, and the cost of cementing its inner curved surface is 1400π * Rs 12.
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Answer:
To find the cost of sinking a tube well 350 m deep with a diameter of 4 m, we need to calculate the volume of the well and then multiply it by the cost per cubic meter.
The volume of a cylinder (which represents the well) can be calculated using the formula:
Volume = π * r^2 * h
Given:
Diameter of the well = 4 m
Radius (r) = Diameter / 2 = 4 / 2 = 2 m
Depth (h) = 350 m
Substituting these values into the formula, we have:
Volume = π * (2^2) * 350
Volume = 4π * 350
Volume = 1400π cubic meters
Now, we can calculate the cost of sinking the well by multiplying the volume by the cost per cubic meter:
Cost of sinking = Volume * Cost per cubic meter
Cost of sinking = 1400π * Rs 16
To find the cost of cementing the inner curved surface of the well, we need to calculate the surface area of the inner curved surface and then multiply it by the cost per square meter.
The surface area of the inner curved surface of a cylinder can be calculated using the formula:
Surface area = 2πrh
Given:
Radius (r) = 2 m
Depth (h) = 350 m
Substituting these values into the formula, we have:
Surface area = 2π * 2 * 350
Surface area = 1400π square meters
Now, we can calculate the cost of cementing the inner curved surface by multiplying the surface area by the cost per square meter:
Cost of cementing = Surface area * Cost per square meter
Cost of cementing = 1400π * Rs 12
Therefore, the cost of sinking the tube well is 1400π * Rs 16, and the cost of cementing its inner curved surface is 1400π * Rs 12.
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