A gravel plant crushes gravel into sand. The sand falls from a spout and forms a...

  

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A gravel plant crushes gravel into sand. The sand falls from a spout and forms a right circular cone whose radius is always twice its height. The radius of the base is increasing at the rate of 6 inches per minute. Leave all answers in terms of it. A] Find the rate in which the area of the base is changing when the area of the base is 25t square inches. Include the correct units in your answer. B] Find the rate at which the volume of the sand cone is changing when the height is 5 inches. Include the correct units in your answer. (The volume of a cone: V = arh) A gravel plant crushes gravel into sand. The sand falls from a spout and forms a right circular cone whose radius is always twice its height. The radius of the base is increasing at the rate of 6 inches per minute. Leave all answers in terms of it. A] Find the rate in which the area of the base is changing when the area of the base is 25t square inches. Include the correct units in your answer. B] Find the rate at which the volume of the sand cone is changing when the height is 5 inches. Include the correct units in your answer. (The volume of a cone: V = arh)