Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.3 Area of a Surface of Revolution, #14 · Calculus · Applications of integrals

(c) … of the Earth's area is above latitude ____

Slices of a basketball all have the same area of cover, if they have the same thickness.

(a) Rotate $y = 1 - x^{2}$ around the $x$ axis. Show that $d S = 2 π d x$ .

(b) The area between $x = a$ and $x = a + h$ is ____ .

(c) $\frac{1}{4}$ of the Earth's area is above latitude ____ .

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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, #14

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