Final answer:
The height of the tank is 0.5 cm.
Step-by-step explanation:
To find the height of the tank, we can use the formula:
Volume of water = base area × height
The base area of the tank can be found by multiplying the length and width: 40 cm × 25 cm = 1000 cm².
The volume of water flowing from the tap is given as 10 liters per minute, which is equivalent to 10000 cm³ per minute or 166.667 cm³ per second. Since it takes 3 minutes to fill up the tank, the total volume of water will be 3 minutes × 166.667 cm³ per second = 500 cm³.
Now, we can plug these values into the formula to find the height:
500 cm³ = 1000 cm² × height
Dividing both sides by 1000 cm² gives:
height = 0.5 cm
Therefore, the height of the tank is 0.5 cm.