1. **Problem Statement:** We have a function $V(m)$ representing the volume of water drained from a fish tank after $m$ minutes. Edgar drains 10 gallons each month using a siphon vacuum that drains at 1 gallon per minute. 2. **Understanding the function:** Since the siphon drains 1 gallon per minute, the volume drained after $m$ minutes is $V(m) = m$ gallons, but Edgar only drains up to 10 gallons each month. 3. **Domain and range:** The domain of $V(m)$ is $0 \leq m \leq 10$ because after 10 minutes, the tank is fully drained for that month. 4. **Range of $V(m)$:** Since $V(m) = m$ for $0 \leq m \leq 10$, the volume drained can be any real number from 0 to 10 gallons. 5. **Conclusion:** The range of $V(m)$ is all real numbers from 0 to 10. $$\boxed{\text{Range of } V(m) = [0, 10]}$$