Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.3 Area of a Surface of Revolution, #16 · Calculus · Applications of integrals

What part of the circle … should rotate around the … axis…

What part of the circle $x = R cos t, y = R sin t$ should rotate around the $y$ axis to produce the top half of a sphere? Choose limits on $t$ and verify the area.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.3 Area of a Surface of Revolution, #16

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