2. A right circular cylinder is inscribed in a sphere with radius 3 units. Find the largest possible volume of such a cylinder. [6] 3 3. The population of the bacteria Salmonella typhimurium is given by the model, A(t) = 300e 0.01733t, where A(t) is the number of bacteria and t is the time in minutes. a. What is the initial number of bacteria? [2] b. What is the population after 10 minutes? [2] c. How long will it take for the population to double