The balloon shown is in the shape of a cylinder with hemispherical ends of the same radius as that of the cylinder. The balloon is being inflated at the rate of 261n cubic centimeters per minute. At the instant the radius of the cylinder is 3 centimeters., the volume of the balloon is 144n cubic centimeters and the radius of the cylinder is increasing at the rate of 2 centimeters per minute. (The volume of a cylinder is ar²hand the volume of a sphere is ar'). 3 (a) At this instant, what is the height of the cylinder? (b) At this instant, how fast is the height of the cylinder increasing?

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