Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.3 Area of a Surface of Revolution, #23 · Calculus · Applications of integrals

A watermelon (maybe a football) is the result of rotating half of…

A watermelon (maybe a football) is the result of rotating half of the ellipse $x = 2 cos t, y = sin t$ (which means $x^{2} + 2 y^{2} = 2$ ). Find the surface area, parametrically or not.

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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, #23

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