Balloon Problem: Phil blows up a spherical balloon. He recalls that the volume is (4/3)
Chapter 4, Problem 2(choose chapter or problem)
Balloon Problem: Phil blows up a spherical balloon. He recalls that the volume is (4/3) r3. Find dV/dt as a function of r and dr/dt. To make the radius increase at 2 cm/s, how fast must Phil blow air into the balloon when r = 3? When r = 6? Plot the graph of dV/dt as a function of r under these conditions. Sketch the result and interpret the graph.
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