Water in a canal, 5.4m wide and 1.8 m deep, is flowing with a speed of 25km/he. How much area can it irrigate in 40 minutes if 10cm of standing water is required?
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6
volume of water in 1 min is 4050
so,Area required is 16200m²
so,Area required is 16200m²
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2
Given,
Breadth = 5.4 m
Height = 1.8 m
Speed of canal = 25 km/hr
Length of canal in 1 hour = 25 km
Length of canal in 60 minutes = 25 km
Length of canal in 1 min = 1/60 * 25
Length of canal in 40 min = 40/60 * 25
= 16.67 km
= 16670 m
Volume of canal = Length * Breadth * Height
= 16670 * 5.4 * 1.8 m³
Volume of water in canal = Volume of area irrigated
Volume of water in canal = Area irrigated * Height
16670 * 5.4 * 1.8 m³ = Area irrigated * 10 cm
16670 * 5.4 * 1.8 m³ = Area irrigated * 10/100 m
16670 * 5.4 * 1.8 * 100 / 10 = Area irrigated
Area irrigated = 1620324 m²
Area irrigated = 1620324/10000 hectares
= 162.0324 hectares Ans.
Ans.) 162.0324 hectares area can it irrigate.
Breadth = 5.4 m
Height = 1.8 m
Speed of canal = 25 km/hr
Length of canal in 1 hour = 25 km
Length of canal in 60 minutes = 25 km
Length of canal in 1 min = 1/60 * 25
Length of canal in 40 min = 40/60 * 25
= 16.67 km
= 16670 m
Volume of canal = Length * Breadth * Height
= 16670 * 5.4 * 1.8 m³
Volume of water in canal = Volume of area irrigated
Volume of water in canal = Area irrigated * Height
16670 * 5.4 * 1.8 m³ = Area irrigated * 10 cm
16670 * 5.4 * 1.8 m³ = Area irrigated * 10/100 m
16670 * 5.4 * 1.8 * 100 / 10 = Area irrigated
Area irrigated = 1620324 m²
Area irrigated = 1620324/10000 hectares
= 162.0324 hectares Ans.
Ans.) 162.0324 hectares area can it irrigate.
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