A rectangular tank 40cm wide by 50 cm long by 30 cm high is filled up with water up to 2/3 of its height .water flows from a tap into the tank at a rate of 0.5 liter per minute. Find the amount of water in the tank after 30 minutes. Give your answer in liters
when the measurement started, the volume was 40*50*30 * 2/3 = 40000 cm^3 = 40L
Now add to that the incoming volume of
0.5L/min * 30min = 15L
Step 3 is 40+15=55 l
To find the amount of water in the tank after 30 minutes, we need to determine the volume of water that flows into the tank during this time period.
First, let's calculate the volume of the tank:
Volume = length x width x height
Volume = 50 cm x 40 cm x 30 cm
Next, we need to find 2/3 of the tank's height:
2/3 x 30 cm = 20 cm
Since the tank is filled up to 2/3 of its height, the remaining space is 30 cm - 20 cm = 10 cm.
The volume of the remaining space in the tank is:
10 cm x 50 cm x 40 cm
Now, let's calculate the amount of water that flows into the tank per minute:
0.5 liters/minute x 30 minutes = 15 liters
To find the amount of water in the tank after 30 minutes, we subtract the volume of the remaining space in the tank from the total amount of water that flows in:
15 liters - [(10 cm x 50 cm x 40 cm) / 1000] liters
Therefore, the amount of water in the tank after 30 minutes is obtained by subtracting the volume of the remaining space from the total volume of water that flowed in, which equals 15 liters minus [(10 cm x 50 cm x 40 cm) / 1000] liters.
To find the amount of water in the tank after 30 minutes, we need to calculate how much water is being added to the tank every minute and then multiply that by 30.
The rate at which water flows from the tap into the tank is given as 0.5 liters per minute. Since 30 minutes have passed, we will multiply this rate by 30.
0.5 liters/minute * 30 minutes = 15 liters
Therefore, after 30 minutes, there will be 15 liters of water in the tank.