Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.1 Areas and Volumes by Slices, #39 · Calculus · Applications of integrals

(d) The volume of the wedge is ______

A wedge is cut out of a cylindrical tree (see figure). One cut is along the ground to the $x$ axis. The second cut is at angle $θ$ , also stopping at the $x$ axis.

(a) The curve $C$ is part of a (circle) (ellipse) (parabola).

(b) The height of point $P$ in terms of $x$ is ______.

(c) The area $A (x)$ of the triangular slice is ______.

(d) The volume of the wedge is ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.1 Areas and Volumes by Slices, #39

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