Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.1 Areas and Volumes by Slices, #20 · Calculus · Applications of integrals

Draw the region bounded by the curves in 21–28

What is the volume of the galaxy that comes from rotating $y = sin x (0 \leq x \leq π)$ around the $x$ axis and then rotating the whole thing about the $y$ axis?

Draw the region bounded by the curves in 21–28. Find the volume when the region is rotated (a) around the $x$ axis (b) around the $y$ axis.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.1 Areas and Volumes by Slices, #20

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