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Gravel is being dumped from a conveyor belt at a speed of 35 feet 3/min .. ^? HELP!?

Gravel is dumped item a conveyor belt at a speed of 35 ft3/min, and vulgarity is such that it forms a conical pile whose base diameter and height are always equal. How fast is the stack height increases when the battery is 14 feet? Write your answer is correct to three decimal places.

Volume of cone = (pi / 3) r ^ 2 * H the problem say that R = H, then rewrite Volume: V = (pi / 3) r ^ 2 = R * (Pi / 3) r ^ 3 Gravel was added to the stack, so that its volume changes with time dV / dt = + 35 m ^ 3 / min when h = 14 m, r = 14 feet, and dh (/ dt) = (Dr / dt) then take the derivative of volume with respect to time dV / dt = pi * r ^ 2 (Dr / dt) = 35 m ^ 2 * 14 * (dr / dt) (dr / dt) = 0.057 35/196pi ft / min (dh / dt) = (dr / dt) = 0057 m / min

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