SOLUTION: DIFF CALC: the height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per second, while the radius of the base is 20 inches and increases at the rat

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Question 1052815: DIFF CALC: the height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per second, while the radius of the base is 20 inches and increases at the rate of one inch per second. at what rate is the volume changing?
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
So first find the volume,

Take the derivative with respect to time,


Substituting (positive changes increase volume, negative changes decrease volume)



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