Find the coat of sinking a tubewell 210m deep, having radius 1.5m at the rate of ₹3 per cubic metre. How much will it cost in cementing the inner curved surface at ₹25 per square metre?
Answers
Answer:
The cost of sinking a tube well is Rs.7121.52.
The cost of cementing is Rs.6594.
Step-by-step explanation:
Given : A tube well 280 m deep having diameter 3 m at the rate of Rs.3.60 per m³.
To find : The cost of sinking a tube well and the cost of cementing its inner curved surface area at the rate of Rs. 2.50 per m² ?
Solution :
The height of the well is h=280 m
The diameter of the well is d=3 m
The radius of the well is r=\frac{3}{2}=1.5\ mr=
2
3
=1.5 m
Volume of the well is V=\pi r^2hV=πr
2
h
V=3.14\times (1.5)^2\times 280V=3.14×(1.5)
2
×280
V=1978.2\ m^3V=1978.2 m
3
The cost of sinking = Rate × Volume
C=3.60\times 1978.2C=3.60×1978.2
C=Rs.7121.52C=Rs.7121.52
The cost of sinking a tube well is Rs.7121.52.
The inner curved surface area is CSA=2\pi rhCSA=2πrh
CSA=2\times 3.14\times 1.5\times 280CSA=2×3.14×1.5×280
CSA=2637.6\ m^2CSA=2637.6 m
2
The cost of cementing = Rate × Area
C=2.50\times 2637.6C=2.50×2637.6
C=Rs.6594C=Rs.6594
The cost of cementing is Rs.6594.
Step-by-step explanation:
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