. Suppose that an air-filled cone-shaped balloon has a leak causing air to escape at a rate of 24 cm³/sec. (You can assume the balloon is a perfect right circular cone.) The height of the balloon is always three times the radius. At what rate is the radius of base of the balloon changing when the radius is 2 cm?

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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3.
Suppose that an air-filled cone-shaped balloon has a leak causing air to escape at a rate
of 24 cm³/sec. (You can assume the balloon is a perfect right circular cone.) The height
of the balloon is always three times the radius. At what rate is the radius of base of the
balloon changing when the radius is 2 cm?
Transcribed Image Text:3. Suppose that an air-filled cone-shaped balloon has a leak causing air to escape at a rate of 24 cm³/sec. (You can assume the balloon is a perfect right circular cone.) The height of the balloon is always three times the radius. At what rate is the radius of base of the balloon changing when the radius is 2 cm?
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