\text { Let } \mathrm{R} \text { be the region bounded by the } \mathrm{x} \text {-axis and } f(x)=4 x^{3} \text {, and } \mathrm{g}(x)=4 \sqrt{x} \text {. Use Shell method to } write the integral(s) that will compute the volume of the solid formed when R is rotated about the y-axis. Compute the volume of this solid.

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