EASIER THAN YOU THINK – Related Rates in Calculus – Volume of a cone

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The volume of a cone is given by V = 1/3pir^2h. Suppose that grain is being poured from a conveyor belt at the rate of 30 ft^3/min. The resulting pile is a cone whose height and radius are the same at all times. How fast is the height of the pile growing when the pile is 10 ft tall?

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