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Math · Calculus
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Open Ended: Caleulator 19 pts e balloon shown below is in the shape of a cylinder with hemispherical ends of the same radius as the cylinder. The balloon is being inflated at the rate of 216t cubic centimeters per minute. At the instant the radius of the cylinder is 3 centimeters, the volume of the balloon is 144t cubic centimeters and the radius of the cylinder is increasing at the rate of 2 centimeters per The minute. a) At this instant, what is the height of the cylinder? b) At this instant, what is the height of the entire balloon? c) At this instant, how fast is the height of the cylinder increasing?
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