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January 27, 2015

January 27, 2015

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

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.

- Calculus -
**MathMate**, Saturday, August 4, 2012 at 11:32pmV is a function of r(t) and h(t)

so use the product rule and chain rule:

V(t)=(1/3)πr(t)²h(t)

V'(t)=(1/3)π[2r*r'(t)]h(t)+(1/3)πr(t)²h'(t)

Can you take it from here?

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