35. Air is blown into a spherical balloon so that, when its radius QC is 6.50 cm, its radius is increasing at the rate 0.900 cm/s. (a) Find the rate at which the volume of the balloon is increasing. (b) If this volume flow rate of air entering the balloon is constant, at what rate will the radius be increas- ing when the radius is 13.0 cm? (c) Explain physically why the answer to part (b) is larger or smaller than 0.9 cm/s, if it is different.

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Chapter9: Fluids And Solids
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35. Air is blown into a spherical balloon so that, when its radius
Qd is 6.50 cm, its radius is increasing at the rate 0.900 cm/s.
(a) Find the rate at which the volume of the balloon is
increasing. (b) If this volume flow rate of air entering the
balloon is constant, at what rate will the radius be increas-
ing when the radius is 13.0 cm? (c) Explain physically why
the answer to part (b) is larger or smaller than 0.9 cm/s, if
it is different.
Transcribed Image Text:35. Air is blown into a spherical balloon so that, when its radius Qd is 6.50 cm, its radius is increasing at the rate 0.900 cm/s. (a) Find the rate at which the volume of the balloon is increasing. (b) If this volume flow rate of air entering the balloon is constant, at what rate will the radius be increas- ing when the radius is 13.0 cm? (c) Explain physically why the answer to part (b) is larger or smaller than 0.9 cm/s, if it is different.
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