Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.1 Areas and Volumes by Slices, #40 · Calculus · Applications of integrals

(d) Change the radius from 1 to

The same wedge is sliced perpendicular to the $y$ axis.

(a) The slices are now (triangles) (rectangles) (curved).

(b) The slice area is ______ (slice height $y tan θ$ ).

(c) The volume of the wedge is the integral ______.

(d) Change the radius from 1 to $r$ . The volume is multiplied by ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.1 Areas and Volumes by Slices, #40

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