An inverted conical container has a diameter of 42 inches and a depth of 15 inches

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

5. An inverted conical container has a diameter of 42 inches and a depth of 15 inches. If water is flowing out of the vertex of the container at a rate of 35π in.3/sec35 \pi \,\mathrm{in} .^{3} / \mathrm{sec}, how fast is the depth of the water dropping when the height is 5 in.?

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