Answer
$$ h=\frac{VP-7920 \pi}{2\pi } .$$
Work Step by Step
To solve the given equation for $h$, we multiply both sides by $P$ and then we follow the following steps
$$ V=\frac{2\pi(3960+h)}{P}\Longrightarrow VP=2\pi(3960+h)\Longrightarrow VP=7920 \pi+2\pi h\\ \Longrightarrow 2\pi h=VP-7920 \pi\\ \Longrightarrow \frac{2\pi h}{2\pi }=\frac{VP-7920 \pi}{2\pi }\\ \Longrightarrow h=\frac{VP-7920 \pi}{2\pi } .$$