You decide to build a pipe organ out of PVC pipe, in your room at home. Estimate whether your organ could produce notes covering the entire range of human hearing, and still fit inside your room (without bending any of the pipes). If not, what is the largest range of frequencies for which the organ would fit in your room? Show all calculations you make, and explain your reasoning.

Note: PVC pipe is a type of plastic and vinyl pipe that is commonly used for plumbing fixtures. If you feel you need more information about the characteristics of available PVC piping, then you may consult the internet. But think carefully about what kind of information is important for this problem, and what kinds are not!