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Question

How many cubic metres of earth must be dugout to sink a well 21 m deep and 6 m diameter? Find the cost of plastering the inner surface of the well at Rs. 9.50 per m2.

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Solution

Diameter of a well = 6 m

Radius (r) =62=3 m Depth (h) = 21 m

Volume of earth dugout = πr2h

=227×3×3×21 m3=594 m3

and curved surface area = 2π r h =2×227×3×21=396m2

Rate of plastering the surface = Rs. 9.50 per m2

Total cost = Rs. 9.50 × 396 = Rs. 3762


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