Answer:
[tex]6.35\cdot 10^{-9} W[/tex]
Explanation:
The relationship between power and intensity of a sound is given by:
[tex]I=\frac{P}{A}[/tex]
where
I is the intensity
P is the power
A is the area considered
In this problem, we know
[tex]A=2.90\cdot 10^{-3}m^2[/tex] is the surface area of the ear
[tex]I = 2.19\cdot 10^{-6} W/m^2[/tex] is the intensity of the sound
Re-arranging the equation, we can find the power intercepted by the ear:
[tex]P=IA=(2.19\cdot 10^{-6} W/m^2)(2.90\cdot 10^{-3} m^2)=6.35\cdot 10^{-9} W[/tex]
