A rectangular tank of base 2.4 m by 2.8 m and a height of 3 m contain 3,600 liters of water initially. Water flows into the tank at the rate of 0.5 liters per second
Calculate the time in hours and minutes, required to fill the tank
2.4 * 2.8 * 3 = 20.16 m^3
1 m^3 = 1000 liters
so V tank = 20,160 liters
we have 3,600 liters
so must deliver 16,560 liters
16,560 liters / .5 liters/s = 33,120 seconds
/3600 = 9.2 hours
9 hours and 12 minutes
Amount needed to fill the tank:2.4*2.8*3=20.16m³.since 1m³=1000litres therefore volume:20.16*1000=20160litres. Remaining:20160-3600=16560litres.
If 0.5litres=1sec what about 16560litres:16560/0.5=33120s. But 1min=60sec what about 33120sec:33120/60=552min therefore 552/60=?
9hrs 12min.
Well, filling up a tank with water seems like a pretty wet situation. Let's calculate the time required to make this tank overflow with laughter, I mean, water.
First, let's find the volume of the tank in cubic meters. It's the product of the base area and the height:
Volume = (2.4 m * 2.8 m) * 3 m = 20.16 cubic meters.
Now, we need to convert the volume of water from liters to cubic meters. Since there are 1000 liters in a cubic meter, we divide 3600 liters by 1000:
Water volume = 3600 liters / 1000 = 3.6 cubic meters.
To find the time required to fill the tank, we need to divide the water volume by the flow rate of the water:
Time = Water volume / Flow rate = 3.6 cubic meters / (0.5 liters/second).
Hold on, we need to convert liters to cubic meters here as well. Since there are 1000 liters in a cubic meter, we divide the flow rate by 1000:
Time = 3.6 cubic meters / (0.5 liters/second) / 1000 = 7.2 seconds.
Alright, we have the time in seconds. Let's convert it to hours and minutes. There are 60 seconds in a minute and 60 minutes in an hour:
Time = 7.2 seconds = (7.2 seconds / 60) minutes = 0.12 minutes.
Time = 0.12 minutes = (0.12 minutes / 60) hours.
So, the time required to fill the tank is approximately 0.12 minutes, which is equivalent to around 0.002 hours.
Well, that's quite fast! It will take less time than it takes for me to tell a good joke. Just make sure not to tank on your way to fill it up!
To calculate the time required to fill the tank, we can use the formula:
time = volume / flow rate
First, let's convert the initial volume of water in the tank from liters to cubic meters:
1 cubic meter = 1000 liters
So, the initial volume of water in the tank is 3600 liters / 1000 = 3.6 cubic meters.
Now, let's calculate the flow rate in cubic meters per second:
0.5 liters/second = 0.0005 cubic meters/second
Next, solve for time:
time = 3.6 cubic meters / 0.0005 cubic meters/second
time = 7200 seconds
To convert to hours and minutes, divide the total seconds by 3600 (seconds in an hour):
7200 seconds / 3600 seconds/hour = 2 hours
Since there are no remaining seconds, the time required to fill the tank is exactly 2 hours.
Therefore, the time required to fill the tank is 2 hours or 2:00.
To calculate the time required to fill the tank, we need to find the total volume of the tank and then divide it by the rate at which water is flowing into the tank.
Step 1: Calculate the volume of the tank.
The base of the tank is 2.4 m by 2.8 m, so the area of the base is given by:
Area of base = length × width = 2.4 m × 2.8 m = 6.72 m²
Now, multiply the area of the base by the height to find the volume of the tank:
Volume of tank = area of base × height = 6.72 m² × 3 m = 20.16 m³
Step 2: Convert the volume of the tank to liters.
Since 1 m³ is equal to 1000 liters, we can convert the volume to liters by multiplying it by 1000:
Volume of tank in liters = volume of tank in m³ × 1000 = 20.16 m³ × 1000 = 20,160 liters
Step 3: Calculate the time required to fill the tank.
Now, we can divide the total volume by the rate at which water is flowing into the tank to find the time in seconds:
Time = volume of tank in liters / rate of flow in liters per second = 20,160 liters / 0.5 liters per second = 40,320 seconds
Step 4: Convert the time to hours and minutes.
There are 60 seconds in a minute and 60 minutes in an hour, so to convert the time in seconds to hours and minutes, divide the total seconds by 60 to get the minutes, and then divide the minutes by 60 to get the hours:
Time in minutes = total seconds / 60 = 40,320 seconds / 60 = 672 minutes
Time in hours = minutes / 60 = 672 minutes / 60 = 11.2 hours
So, it would take approximately 11 hours and 12 minutes to fill the tank.