Mathematics, 04.02.2021 20:20 david838843
Find the volume of the solid of revolution generated by revolving the region bounded by y = 2x^2, y = 0, and x = 2 about the x-axis.
Answers: 2
![V = \int\limits^2_0 {4\pi x^4} \, dx\\V =4\pi \int\limits^2_0 { x^4} \, dx\\V = 4 \pi [\frac{x^5}{5} ]\\](/tpl/images/1093/0228/76575.png)
![V = 4 \pi ([\frac{2^5}{5}] - [\frac{0^5}{5}])\\V = 4 \pi ([\frac{32}{5}] - 0)\\V = 128 \pi/5 units^3](/tpl/images/1093/0228/d049d.png)
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Find the volume of the solid of revolution generated by revolving the region bounded by y = 2x^2, y...
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