Answer: Minimum Volume The arc of on the interval is revolved about the line (see
Chapter 7, Problem 67(choose chapter or problem)
Minimum Volume The arc of \(y=4-\left(x^{2} / 4\right)\) on the interval [0, 4] is revolved about the line y = b (see figure).
(a) Find the volume of the resulting solid as a function of b.
(b) Use a graphing utility to graph the function in part (a), and use the graph to approximate the value of b that minimizes the volume of the solid.
(c) Use calculus to find the value of b that minimizes the volume of the solid, and compare the result with the answer to part (b).
Text Transcription:
y=4-(x^2/4)
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