Consider the shaded region between the graph of y = sin x, where 0 x
Question:
Consider the shaded region between the graph of y = sin x, where 0 ≤ x ≤ π, and the line y = c, where
0 ≤ c ≤ 1 (see figure). A solid is formed by revolving the
region about the line y = c.
(a) For what value of does the solid have minimum volume?
(b) For what value of does the solid have maximum volume?
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