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9. Lava flowing from a hole at the top of a hill is forming a conical mountain whose height is al- ways the same as

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9. Lava flowing from a hole at the top of a hill is forming a conical mountain whose height is al- ways the same as the width of its base (see figure below). If the mountain is increasing in height at 2 feet per hour when it is 500 feet high, how fast is the lava flowing (that is, how fast is the volume of the mountain increasing)? (V = ar h) h volcano weh 13. T

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