Question

Sound waves can be ranked by their intensity, I, given in the formula below, where r is the distance from the source of a sound with a power output of P. Solve the formula for the distance from the source, r.

Answer 1

^^

Explanation:

It was correct for me

Answer 2

r=
`(1)/(2)`
`\sqrt{(P)/(\pi I) }`

Explanation:

Power output has a formula : P=4πIr²

To solve formula for the distance from source, r . We first begin with:

P=4πIr²

we just need the value of r, so:

4πIr² = P

Cross multiply 4πI

r² =
`(P)/(4 \pi I)`

Now taking square root, we get :

r =
`\sqrt{(P)/(4\pi I) }`

r =
`(1)/(2)`
`\sqrt{(P)/(\pi I) }`

which is the distance 'r' from the source of a sound with power output of P