Discovery Precalculus: A Creative and Connected Approach Exploration 1.3.2: Bottles, Rates, and Graphs 1. For each bottle shown below, sketch what its height vs. volume graph would look like if one were to slowly and consistently fill the bottle with a liquid. For our purposes, what matters is the shape of the given bottles and how this affects the shape of the graph. You can assume that the bottles have circular horizontal cross sections. a. b. h h 0 O C. d. h h 0 e. h 0