3.
The length of a semicircular tunnel is 2 km and diameter is 7 m. Find the
expenditure for digging the tunnel at the rate of 600 per m². T = =
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Length of the semicircular tunnel = 2km. ∴l=2000 mm
Diameter of the semicircular tunnel = 7mm
∴ Radius of tunnel = 7/2 ∴r = 3.5 mm
Volume of semicircular tunnel = 1/2× Volume of circular tunnel
= 1/2×πr² l
= 1/2×22/7× 3.5×3.5×2000
= 11×0.5×3.5×2000
= 38500 m³
∴ Expenditure for digging (semicircular) the tunnel at the rate Rs. 600600 per m²
= 38,500×600
= Rs. 2,31,00,000
∴ Expenditure for plastering inner side of the tunnel at the rate of Rs. 5050 per m²
= 22000×5
= Rs. 11,00,000
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