The problem asks to factor the expression $2\pi rh + 2\pi r$.

1. Problem Description

The problem asks to factor the expression $2\pi rh + 2\pi r$.

2. Solution Steps

We are given the expression $2\pi rh + 2\pi r$.

We can see that both terms have a common factor of $2\pi r$.

We can factor out $2\pi r$ from both terms.

$2\pi rh + 2\pi r = 2\pi r(h + 1)$

3. Final Answer

The factored expression is $2\pi r(h+1)$.