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Q9. A rectangular swimming pool is 25 metres long and 12 metres wide.

When full, the water is 1 metre deep at the shallow end and the bottom slopes uniformly along its length to the opposite end, where it is 4 metres deep.

The pool was filled by water flowing through a pipe, of internal diameter 100 millimetres, flowing at the rate of 4 metres per second, the pipe always being full.

Calculate EACH of the following for the pool:

(a) the volume of water when full; (6)

(b) the filling rate in cubic metres per hour; (7)

(c) the total filling time. (3)