The intensity of a certain sound at your eardrum is 0.0030 W/m^2. Calculate the rate P at which sound energy hits your eardrum. Assume that the area of your eardrum is about 51 mm^2.

Question

I found this to be 1.53x10^-4 using I=P/A

What power output P0 is required from a point source that is 3.5 m away in order to create the same intensity at your eardrum?
What equation should be used here?

Answer 1

I=P*A = .003*51*10^-6 watts not same as yours.
I=Io/distance^1

intensity decreases as distance ^2, fo Io=3.5^2 * I above

Answer 2

power /(4 pi r^2) = intensity
0.0030 W/m^2 = power/ (4 pi r^2)