50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be
Another methode
To find the rise in the water level in the tank, we need to calculate the total displacement of water by the 50 men and then use the volume of the tank to determine the rise in water level.
Step 1: Calculate the Total Displacement of Water by 50 Men
- The displacement of water by each man is given as 4 m³.
- There are 50 men, so the total displacement is:
Total displacement=50×4=200 m3\text{Total displacement} = 50 \times 4 = 200 \, \text{m}^3Total displacement=50×4=200m3
Step 2: Calculate the Volume of the Tank’s Base Area
The tank’s base is a rectangle with dimensions:
- Length = 40 m
- Width = 20 m
The area of the base of the tank is:
Area of base=40×20=800 m2\text{Area of base} = 40 \times 20 = 800 \, \text{m}^2Area of base=40×20=800m2
Step 3: Calculate the Rise in Water Level
The rise in the water level is given by the formula:
Rise in water level=Total displacementArea of base\text{Rise in water level} = \frac{\text{Total displacement}}{\text{Area of base}}Rise in water level=Area of baseTotal displacement
Substitute the values:
Rise in water level=200800=0.25 m\text{Rise in water level} = \frac{200}{800} = 0.25 \, \text{m}Rise in water level=800200=0.25m
Final Answer:
The rise in the water level will be 0.25 meters or 25 cm
