Solved: Right circular cylinder The total surface area S
Chapter , Problem 141PE(choose chapter or problem)
Right circular cylinder The total surface area \(S\) of a right circular cylinder is related to the base radius \(r\) and height \(h\) by the equation \(S=2 \pi r^{2}+2 \pi r h\)
a. How is \(d S / d t\) related to \(d r / d t\) if \(h\) is constant?
b. How is \(d S / d t\) related to \(d h / d t\) if \(r\) is constant?
c. How is \(d S / d t\) related to \(d r / d t\) and \(d h / d t\) if neither \(r\) nor \(h\) is constant?
d. How is \(d r / d t\) related to \(d h / d t\) if \(S\) is constant?
Equation Transcription:
Text Transcription:
S
r
h
S=2 pi r2+2 pi rh
dS/dt
dr/dt
h
dS/dt
dh/dt
r
dS/dt
dr/dt
dh/dt
r
h
dr/dt
dh/d
S
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