Question #3: A cylinder is growing in volume such that its radius is given by r(t) = 12+ + 3 and its height is given by
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Question #3: A cylinder is growing in volume such that its radius is given by r(t) = 12+ + 3 and its height is given by
Question #3: A cylinder is growing in volume such that its radius is given by r(t) = 12+ + 3 and its height is given by h(t) = 30t +1, where t is the number of seconds since the cylinder began to grow and h(t) and r(t) are both in centimetres. How much faster is the volume of the cylinder growing when its radius is 5 cm compared to when its height is 9 cm? Round your final answer to the nearest hundredth. Make sure to show all work for your calculation.
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