Let V be the volume of a cylinder having height h andradius r, and assume that h and r
Chapter 3, Problem 7(choose chapter or problem)
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 6 in and increasing at 1 in/s, while the radius is 10 in and decreasing at 1 in/s. How fast is the volume changing at that instant? Is the volume increasing or decreasing at that instant?
Equation Transcription:
Text Transcription:
V
h
r
dV/dt
dh/dt
dr/dt
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