24. The height of the water in a cylindrical storage tank is modeled by a differential function \( h(t) \), where \( h \) is measured in meters and \( t \) is measured in hours. At time \( t = 0 \) the height of the water in the tank is 8 meters. During the time interval \( 0 \leq t \leq 20 \) hours, the height is changing at the rate \[h'(t) = 0.01t^3 - 0.3t^2 + 2.2t - 1.5 \text{ meters per hour}.\] What is the maximum height of the water in meters during the time period \( 0 \leq t \leq 20 \)?
