l A spherical balloon is being inated by a compressor that is pumping air at a rate of 4.3 ft3/min. At what rate is the radius of the balloon increasing when the radius is 1.5 ft? Round to three decimal places. Recall: V = gar? > Consider a right triangle with hypotenuse of (xed) length 24 cm and variable legs of lengths x and y, respectively. If the leg of length x increases at the rate of 8 cm/min, at what rate is y changing when x = 16 cm? (Use decimal notation. Give your answer to three decimal places.) A ladder a = 11 m long is leaning against a wall. If the lower end of the ladder slides away from the wall at the rate of b = 0.5 m/s, at what rate is the inclination 6 of the ladder with respect to the ground changing when the lower end is 5 m from the wall? Note: Check the "Student Hint" for help setting up this problem. (Use symbolic notation and fractions where needed.) d6 = radians/s dt Water is owing into a vertical cylindrical tank of diameter 28 m at a rate of 14 m3/min. Find the rate at which the water depth is rising. (Use decimal notation. Give your answer to three decimal places.) Recall: V = m-Zh ~ m