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April 20, 2014

Homework Help: Calculus

Posted by Jay on Saturday, August 4, 2012 at 8:13pm.

Let V be the volume of a right circular cone having height h and radius r and assume that h and r vary with time.

a. Express the time rate of change of the cylinder in terms of h, r and their rates of change.
b. At a certain instant, the height is 10 in and decreasing at a rate of 1.5 in/sec, while the
radius is 3 in and increasing at a rate of 2 in/sec. How fast is the volume changing at
that instant and state whether the volume is decreasing or increasing.

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