Chapter 9.6, Problem 11P

Water is being poured at a steady rate into a round vase whose vertical cross-section is shown in Figure 9.63 . One function that arises from this situation is the volume function, whose input is the time elapsed since water began pouring into the vase and whose output is the volume of water in the vase at that time. Another function that arises from this situation is the height function, whose input is the time elapsed since water began pouring into the vase and whose, output is theheight of the water in the vase at that time. Sketch graphs that could be the graphs of these two functions, and indicate how the graphs fit with the scnario of water pouringinto th vase at the steady rate .

 

Figure 9.63 the cross section of the vase