Answer
$E = 3.4\times 10^{-6}~J$
Work Step by Step
We can find the power received by the eardrum.
$P = I~A$
$P = I~(\pi~R^2)$
$P = (2.0\times 10^{-3}~W/m^2)(\pi)(0.0030~m)^2$
$P = 5.65\times 10^{-8}~W$
We can find the energy transferred to the eardrum while listening for 1.0 minute.
$E = P~t$
$E = (5.65\times 10^{-8}~W)(60~s)$
$E = 3.4\times 10^{-6}~J$