MediumChange of variables

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §14.4 Cylindrical and Spherical Coordinates, #23 · Multivariable Calculus · Change of variables

A cylindrical tree has radius

A cylindrical tree has radius $a$ . A saw cuts horizontally, ending halfway in at the $x$ axis. Then it cuts on a sloping plane (angle $α$ with the horizontal), also ending at the $x$ axis. What is the volume of the wedge that falls out?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §14.4 Cylindrical and Spherical Coordinates, #23

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