(2 marks) 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 = 400 cm and height H = 200 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) = 200 hl Find 1 in terms of h and enter your answer in the box below. 1=IB Hence nd the volume of the water in the pool as a function of h only and enter your answer in the box below V= 5: Suppose that the volume of water in the pool decreases at the constant rate of 50, 000 cm3 /m'n . Using the chain rule, dV _ 6111% . . . _ E dh dt , at what rate is the helght changlng when h 79 cm ? dh_ E Number cm/mm