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Find the cost of sinking a tube well 280 m deep, having diameter 3 m at the rate of Rs. 3.60 per cubic metre. Find also the cost of cementing its inner curved surface at Rs. 2.50 per square metre.

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Best answer

Given,

Depth of tube well = 280 m

Diameter of tube well = 3 m

Radius of well = \(\frac{3}{2}\) = 1.5 m

so,

Volume = πr2h = \(\frac{22}{7}\) x 1.5 x 1.5 x 280 = 1980 m3

Cost of sinking tube well at rate Rs.3.60/m3 = 1980×3.60 = Rs.7128

Curved surface area = 2πrh = 2 x \(\frac{22}{7}\) x 1.5 x 280 = 2640 m2

Cost of cementing its inner curved surface at rate Rs.2.50/m2 = 2.50×2640 =Rs.6600

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