The Magnetic Flux through a Solenoid

[marrone]

Homework Statement

Find the magnetic flux through a solenoid of length 31.2 cm, radius 1.5 cm, and 610 turns that carries a current of 3.8 A.
(in Wb)

Homework Equations

B_solenoid=u₀*N*I/L

Flux= B *A

The Attempt at a Solution

So to find the magnetic field, I plugged the values into the equation like this: u₀*610*3.8/.312=9.34*10^-3.

And I've tried doing pi*(.015²) for the area, and multiplying them together, and I didn't get the right answer.

I tried taking the total surface area of the solenoid, such as 2pi(.015)²* 2pi(.015)*(.312) and I still can't get the answer. What am i missing? I feel like this problem should be really easy...

 

[Gear300]

what was your answer for the flux?