The diagram below represents a rectangular swimming pool 25 m long and 10 m wide. The sides of the pool are vertical.
-25 m
1 mi
10 m
2
1
1
1
2.8 m
The floor of the pool slants uniformly such that the depth at the shallow ends is 1m ar
the deep end is 2.8m.
(a) Calculate the volume of water required to completely fill the pool.

(b) Water is allowed into the empty pool at a constant rate through an inlet pipe.
It takes 9 hours for the water to just cover the entire floor of the pool.
Calculate
(i) the volume of the water that just covers the floor of the pool.
(ii) the time needed to completely fill the remaining part of the pool. ​