The volume of a right-circular cylinder of radius r and height h is 
.
Suppose the radius and height of the cylinder are changing with respect to time t. At a certain instant of time, the radius and height of the cylinder are 8 and 4 in. and are increasing at the rate of 0.5 and 0.1 in./sec, respectively.
How fast is the volume of the cylinder increasing?
Definitions:
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