R is the region bounded above by the graph of f(x) = 2x^2/3 and below by the x-axis over the interval [0, 3]. Find the volume of the solid of revolution formed by revolving R around the y-axis. Submit an exact answer in terms of π.
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R is the region bounded above by the graph of f(x) = 2x^2/3 and below by the x-axis over the interval [0, 3]. Find the volume of the solid of revolution formed by revolving R around the y-axis. Submit an exact answer in terms of π.
![R is the region bounded above by the graph of f(x) = 2x^2/3 and below by the x-axis over the interval [0, 3]. Find the volume of the solid of revolution formed by revolving R around the y-axis. Submit an exact answer in terms of π.](https://www.doubtrix.com/uploads/editor/9809816686gWhwVbarxH.png)
![R is the region bounded above by the graph of f(x) = 6x - 2x^2 and below by the x-axis over the interval [0, 3]. Find the volume of the solid of revolution formed by revolving R around the y-axis. Submit an exact answer in terms of π.](https://www.doubtrix.com/uploads/editor/3770108468ZPQTvWOXER.png)
