Water is pumped into a sphere of radius R at a variable rate in such a way
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Water is pumped into a sphere of radius R at a variable rate in such a way that the water level rises at a constant rate (Figure 20). Let V(t) be the volume of water in the tank at time t. Sketch the graph V (approximately, but with the correct concavity). Where does the point of inflection occur?
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FIGURE 20 h R
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