Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §9.3 Slope, Length, and Area for Polar Curves, #34 · Calculus · Parametric & polar

When … is revolved around the … axis, the volume is

When $y = f (x)$ is revolved around the $x$ axis, the volume is $\int π y^{2} d x$ . When the circle $r = cos θ$ is revolved, switch to a $θ$ -integral from 0 to $π /2$ and check the volume of a sphere.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §9.3 Slope, Length, and Area for Polar Curves, #34

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