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Nov 03'24

Exercise

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Water is pouring into a conical funnel and, although it is also running out of the bottom, the amount of water in the funnel is increasing at the rate of [math]3[/math] cubic inches per minute. If the conical part of the funnel is [math]5[/math] inches deep and the mouth of the funnel is [math]6[/math] inches in diameter, how fast is the water rising when it is [math]2[/math] inches deep?