oh good something useful to do with my time. i'm using windows calculator so i dont have pi, this may create slight inaccuracies.
speed of flow at pool (v2) = (a1*v1)/a2
v2 = (area at inlet * speed of flow at inlet) / area at pool
v2 = ([pi*1.5*1.5] * 2) / (pi*1*1)
v2 = (7.0686*2) / 3.14159
v2 = 4.5cm/sec
now, calculating the rate of flow (Q) is a simple matter of q = v*a
q = 4.5cm/sec (v) * 3.14159cm^2 (a) = 14.137155cm^3/sec
q = 14.14 cm^3/sec
ok thats the easy bits done, now you need to determine the pressure at the inlet to achieve that flow rate. this requires the use of that wonderful Bernoulli equation, which is;
P1 + pgh1 + (1/2)pv1^2 = P2 + pgh2 + (1/2)pv2^2
we know we need 3 x 10^5 Pa at the pool (given), and we know the length of the pipes, so we have all the figures we need.
now i always hated this equation and i havent used it for at least 9 years so lets see how far we can get, but first i'm going to get something to eat, brb.