2. A right circular cylinder is inscribed in a sphere with radius 3 units. Find the large st possible volume of such a cylinder. [6] 3. The population of the bacteria Sahanefb {115mm is given by the model, A (t) = 30090.01r33ti' where Alt] is the number of bacteria and t is the time in minutes. a. T'i'hat is the initial number of bacteria? [2] b. \"that is the population after 10 minutes? [2] c. How long will it take for the population to double? [2]