Volume Flow Rate: Solve for Water Leaving Faucet in cm^3/s

[kathmill]

Homework Statement

A pump at ground level creates a gauge pressure of 102 kPa in the water line supplying an apartment building. The water leaves the tank into a pipe at a negligible speed. It travels up 10 m through the building and exits through a faucet. The cross-sectional area of the faucet is 2.0 cm^2. What is the Volume Flow Rate of the water leaving the faucet in cm^3/s?

Homework Equations

Volume Flow Rate: Q=Av
Bernoulli equation simplified: v = square root of: (Gauge Pressure - density of water*g*height)/(1/2 density)

So put V into Q=Av and solve!?

The Attempt at a Solution

I found it to be: 8 cm^3/m

Where am I going wrong?

 

[Doc Al]

You solved for the speed v (in m/s). You need the volume flow rate, which is Av.