Related rates

Two quantities tied by an equation and both varying in time, differentiated with respect to t so one known rate of change yields the other.

Active Calculus, Related rates

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1 exercise

Exercise 12

Sand is being dumped off a conveyor belt onto a pile in such a way that the pile forms in the shape of a cone whose radius is always equal to its height. Assuming that the sand is being dumped at a rate of $10$ cubic feet per minute, how fast is the height of the pile changing when there are $1000$ cubic feet on the pile?

2.5