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A cylindrical container is being designed so the height is twice the size of the radius. It is filled with a liquid at a rate of _20_cm /min. 20. Write an equation to show the relationship between the height and the radius. (1) 21. Recall the volume of a cylinder is modelled by the equation, V = Th. Rewrite the formula for volume for this problem so the formula only uses the variable h . Show all work on the template and just record the final answer on the computer. (1) 22. Write a function to represent the _volume of the container as a function of time (1) 23. Use composite functions to express the height (n) _, of the liquid in the container as a function of _time (t) in minutes (2) 24. An investment of $5000 is made at bil compounded annually. The amount of money in the investment is modelled by the equation Alt) = 5000 (1:06) where A(t) is the amount the investment is currently worth and t is the number of years since the investment was started. Find the instantaneous rate of change in the value of the investment at _+ years (accurate to two decimal places). (4)