The horizontal radius of the hole, l, can be recovered using the Pythagorean theorem, l2 = R2 − h2. Then the area of each disc is πx2 − π(R2 − h2). Volume = π. |
16 нояб. 2022 г. · In this section we'll determine the surface area of a solid of revolution, i.e. a solid obtained by rotating a region bounded by two curves ... |
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Select the best method to find the volume of a solid of revolution generated by revolving the given region around the x-axis, and set up the integral to find ... |
The volume of solid region rotated around the x-axis such as the one in this problem can be found by summing the area of discs, using the formula |
28 апр. 2014 г. · Let Ai = cross sectional area of the jth slice. Vj = volume of the jth slice ≈ Aj · ∆h. A dh Where A = A(h) is the cross-sectional area and h ... |
30 мар. 2016 г. · To find the area between two curves defined by functions, integrate the difference of the functions. If the graphs of the functions cross, or if ... |
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