Mathematics, 02.09.2020 01:01, tdahna0403
Use the general slicing method to find the volume of the solid whose base is the triangle with vertices (0,0), (7,0), and (0,7) and whose cross sections perpendicular to the base and parallel to the y-axis are semicircles. (need exact answer in terms of pi).
Answers: 2
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![= \frac{1}{8} \pi \int_{0}^{7}(7-x)^2 dx \\\\= \frac{1}{8} \pi [\frac{(7-3)^3}{-3}]_{0}^{7}\\\\= \frac{\pi}{24} \times [7^3-0]\\\\= \frac{\pi}{24} \times 343\\\\= \frac{343 \pi}{24} \\](/tpl/images/0737/5727/e9b5d.png)
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Use the general slicing method to find the volume of the solid whose base is the triangle with verti...
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