Question

Express V in terms of other quantities in the following:

log V + log 3 = log 2 + log π + 3 log r

Answer 1

We are given the equation:

log V + log 3 = log 2 + log π + 3 log r

Step 1: Combine logs on both sides

Left side:

log (3V)

Right side:

log 2 + log π + log r³ = log (2πr³)

So the equation becomes:

log (3V) = log (2πr³)

Step 2: Equate the arguments

3V = 2πr³ 

⇒ `V = (2πr^3)/3`