Mathematics, 22.01.2021 19:10 zivicion
A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t=c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 1/2 inch per minute. Write an expression for the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r.
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