12. Soybeans, pouring down from a chute at a constant rate of 2 m/min, form a conical hill. Assuming that the height of the hill is always twice the radius of its base, find the rate at which the height is increasing at the moment the height is 1 m, and also when the height is 4 m. Hint: The volume of a cone of radius r and height h is V=

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Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 43AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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12. Soybeans, pouring down from a chute at a constant rate of 2 m/min, form a conical hill.
Assuming that the height of the hill is always twice the radius of its base, find the rate at which
the height is increasing at the moment the height is 1 m, and also when the height is 4 m.
Hint: The volume of a cone of radius r and height h is V=
Transcribed Image Text:12. Soybeans, pouring down from a chute at a constant rate of 2 m/min, form a conical hill. Assuming that the height of the hill is always twice the radius of its base, find the rate at which the height is increasing at the moment the height is 1 m, and also when the height is 4 m. Hint: The volume of a cone of radius r and height h is V=
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