surely the area of water in contact with the sides cannot affect tha flow rate.
And since the base is rectangular, the area in contact is constant.
Am I missing something here? What is the shape of the base tap, and where is it located?
Develop a research plan in order to find out the time it takes the water tank in supplying the school garden.
A rectangular water tank was built with square base 3m long and height 5m. Water tank is initially full of water: water will leak out through the base tap for irrigation at a rate proportional to the total area in contact with water. When the depth of water is 4m, water is filling at the rate of 0.4m/h.
H denotes the depth of water in tank after t, hours.
A. Using Calculus, model this by a differential equation, stating clearly the variables considered. (15marks)
B. Solve the differential equation in [A] giving H in terms of t. Find how long it takes the tank to be half full 2. Find how long the tank irrigates the school garden [10]
C. Give the recommendations on the size of the school garden or side of the water tank or rate of irrigating
1 answer