Submerging Cone Problem: A cone of base radius 5 cm and height 12 cm is being lowered at

Chapter 10, Problem C4

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Submerging Cone Problem: A cone of base radius 5 cm and height 12 cm is being lowered at 2 cm/min, vertex down, into a cylinder of radius 7 cm that has water 15 cm deep in it (Figure 10-7e). Figure 10-7e As the cone dips into the water, the water level in the cylinder rises. Find the rate at which the level is rising when the vertex of the cone is a. 10 cm from the bottom of the cylinder b. 1 cm from the bottom of the cylinder

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