Water is being pumped into a cylindrical tank at a constant rate of 5 gallons per minute, as shown in Figure 21.The tank has diameter 3 feet and length 9.5 feet. The volume of the tank is Ï€r2l = Ï€ × 1.52 × 9.5 ‰ˆ 67.152 cubic feet ‰ˆ 500 gallons. With-out doing any calculations, sketch a graph of the height h of the water as a function of time t (see Example 6). Where is h concave up? Concave down?

3 fi 9.5 ft