The inner diameter of a well is 2.5 metres and it is 8 metres deep. What would be the cost of cementing its inside from the top to a depth of metres at the rate of 350 rupees per square metre?

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Solution

Diametre of the well = 2.5 m

Radius (r) of the well = = 1.25 m

Depth (h) of the well = 8 m

Depth of the portion to be cemented =

Base perimeter = 2πr

= (2 × 3.14 × 1.25) m

= 7.85 m

Curved surface area of the cemented portion = Base perimeter × Height

= (7.85 × 2.5) m²

= 19.625 m²

Cost of cementing per square metre = Rs.350

∴ Cost of cementing 19.625 m² area = Rs.350 × 19.625 = Rs.6868.75

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