Solved: Right circular cone The lateral surface area S of
Chapter , Problem 142PE(choose chapter or problem)
Right circular cone The lateral surface area \(S\) of a right circular cone is related to the base radius \(r\) and height \(h\) by the equation \(S=\pi r \sqrt{r^{2}+h^{2}}\).
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?
Equation Transcription:
Text Transcription:
S
r
h
S=pi r sqrt r^2+h^2
dS/dt
dr/dt
h
dS/dt
dh/dt
r
dS/dt
dr/dt
dh/dt
r
h
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