Power of a Pump draining a flooded basement

[physicsfan01]

Homework Statement

Water is pumped steadily out of a flooded basement at a speed of 5.7m/s, through a uniform hose of radius 1.01cm. The hose passes through a window 2.96m above the waterline. What is the power (in W) delivered by the pump?

Homework Equations

Continuity and Bernoulli principles

The Attempt at a Solution

By using the radius, the cross sectional area is found to be 3.2047 * 10^-4 m^2.
Multiply this by the velocity to find the flow rate I got: .001827 m^3/s or 1.827 kg/s.
Multiply this by gravity (9.8 m/s^2) and the height (2.96m), I got 52.99 Watts.

I don't know where I made a mistake, please help!

 

[mgb_phys]

Your method is right but I get 54.07 ( how many figures did you carry through the calcs?)

 

[physicsfan01]

I tried 54.07 W but it's not correct either.