Hcm Wcm A pool that is initially lled with water is in the shape of a right triangular prism and has horizontal length L = 2500 cm , horizontal width W = 2000 cm. and height H = 1000 cm at one end as shown in the diagram. Let h. (t) be the depth of the water and let I (t) be the corresponding horizontal length of the water, at time t min, as shown in the diagram. The volume of the water in the pool at time t is given by V (t) = 1000 M Find I in terms of h and enter you: answer in the box below. 1= IE] Hence nd the volume of the water in the pool as a function of 31 only and enter your answer in the box below V= I551 Suppose that the volume of water in the pool decreases at the constant rate of 30, 000 m3 {min . Using the chain rule, , at what rate is the height changing when it = 113 cm 7.' dt _dh cit : aft ; cmjmzn