Calculating Power at source from Intensity at distance R

[dmoney123]

Homework Statement

An enclosed chamber with sound absorbing walls has a 2.0 m × 1.0 m opening for an outside window. A loudspeaker is located outdoors, 46 m away and facing the window. The intensity level of the sound entering the window space from the loudspeaker is 42 dB. Assume the acoustic output of the loudspeaker is uniform in all directions and that acoustic energy incident upon the ground is completely absorbed and therefore is not reflected into the window. The threshold of hearing is 1.0 × 10-12 W/m2. The acoustic power output of the loudspeaker is closest to

Homework Equations

A=10log(I/I_0)

I_0=1*10^-12 W/m^2

The Attempt at a Solution

We know

42=10log(I/1*10^-12)
10^4.2 (1*10^-12)=I
I=1.5849*10^-8 W/m^2

we also know that it is received in an area of 2m^2

I don't know how to find the ratio for the source. ie distance=0

If you treat it like a point source then... i don't know.

 

[dmoney123]

Figured it out. (4 pi r^2)=P/I where r=46.

P=4.2*10^-4