Let V be the volume of a cylinder having height h and radius r,
and assume that h and r
vary with time.
(a) How are dV /dt, dh/dt, and dr/dt related?
(b) At a certain instant, the height is 18 cm and increasing at 3
cm/s, while the radius is 30
cm and decreasing at 3 cm/s. How fast is the volume changing at
that instant? Is the
volume increasing or decreasing at that instant?
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