5. A right circular cylinder has to be designed to fit inside a sphere of radius 2m so that its top and bottom touch the sphere along its complete circular edge. What are the dimensions of the cylinder of maximum volume, and what is the maximum volume?

David estimated he had about 20 fish in his pond. a year later, there were about 1.5 times as many fish. the year after that, the number of fish increased by a factor of 1.5 again. the number of fish is modeled by f(x)=20(1.5)^x. create a question you could ask that could be answered only by graphing or using a logarithm.