The graph is what I got for (g), is that right? And in order to get the volume I just need to use pi(r)^2h????
Your first question, I can't answer because it is not clear which part of the graph you intend as your answer. I see a cylinder and a cone inside the cylinder. What do you intend as representing the region described?
The formula $\displaystyle \pi r^2h$ gives the volume of the cylinder. Is that what you intended?