Charge that a battery transfers between two plates

[jjcm]

Homework Statement

An AA battery (1.5 V potential) is connected to a parallel-plate capacitor having 6.00cm-diameter plates spaced 4mm apart. How much charge does the battery move from one plate to the other?

Homework Equations

V=Q/C
C=A$$\kappa$$$$\epsilon$$/d

The Attempt at a Solution

Plugged in values:
C = (.03)²*(8.85*10^-12)/.004 = 1.99*10^-12
Q = 1.5V * 1.99*10^-12f

Getting an incorrect answer for Q. Thoughts?

 

[willem2]

You forgot a factor of $\pi$ in the formula for area.