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(Solved): Let \( S \) be the solid obtained by rotating the region shown in the figure below about the \( y \ ...
Let \( S \) be the solid obtained by rotating the region shown in the figure below about the \( y \)-axis. Explain why it is difficult to use the washer method to find the volume \( V \) of \( S \).
Sketch the solid.
(1)
What are the circumference \( c \) and height \( h \) of a typical cylindrical shell? \[ c(x)= \] \[ h(x)= \] Use the method of cylindrical shells to find the volume \( V \) of \( S \).