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In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:
- a)75 cu. m
- b)750 cu. m
- c)7500 cu. m
- d)75000 cu. m
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5...
1 hectare = 10,000 m2
So, Area = (1.5 × 10000) m2 = 15000 m2
Depth = (5/100) m = (1/20) m
∴ Volume = (Area × Depth)
= (15000 × 1/20) m3 = 750 m3
So, Area = (1.5 × 10000) m2 = 15000 m2
Depth = (5/100) m = (1/20) m
∴ Volume = (Area × Depth)
= (15000 × 1/20) m3 = 750 m3
Most Upvoted Answer
In a shower, 5 cm of rain falls. The volume of water that falls on 1.5...
The volume of water that falls on 1.5 hectares of ground can be calculated by multiplying the amount of rain that falls in a shower by the area of the ground.
Given:
Amount of rain that falls in a shower = 5 cm
Area of the ground = 1.5 hectares
To find the volume of water that falls on 1.5 hectares of ground, we need to convert the given values into the same unit of measurement.
Converting the area:
1 hectare = 10,000 square meters
So, 1.5 hectares = 1.5 × 10,000 square meters = 15,000 square meters
Converting the amount of rain:
1 cm of rain = 1 liter of water per square meter
So, 5 cm of rain = 5 × 1 liter per square meter = 5 liters per square meter
Calculating the volume:
Volume of water = Amount of rain × Area of the ground
Volume of water = 5 liters per square meter × 15,000 square meters
Volume of water = 75,000 liters
Converting liters to cubic meters:
1 liter = 0.001 cubic meters
So, 75,000 liters = 75,000 × 0.001 cubic meters
Volume of water = 75 cubic meters
Therefore, the volume of water that falls on 1.5 hectares of ground is 75 cubic meters. So, the correct answer is option B) 750 cu. m.
Given:
Amount of rain that falls in a shower = 5 cm
Area of the ground = 1.5 hectares
To find the volume of water that falls on 1.5 hectares of ground, we need to convert the given values into the same unit of measurement.
Converting the area:
1 hectare = 10,000 square meters
So, 1.5 hectares = 1.5 × 10,000 square meters = 15,000 square meters
Converting the amount of rain:
1 cm of rain = 1 liter of water per square meter
So, 5 cm of rain = 5 × 1 liter per square meter = 5 liters per square meter
Calculating the volume:
Volume of water = Amount of rain × Area of the ground
Volume of water = 5 liters per square meter × 15,000 square meters
Volume of water = 75,000 liters
Converting liters to cubic meters:
1 liter = 0.001 cubic meters
So, 75,000 liters = 75,000 × 0.001 cubic meters
Volume of water = 75 cubic meters
Therefore, the volume of water that falls on 1.5 hectares of ground is 75 cubic meters. So, the correct answer is option B) 750 cu. m.
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In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:a)75 cu. mb)750 cu. mc)7500 cu. md)75000 cu. mCorrect answer is option 'B'. Can you explain this answer?
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