The integral represents the volume of a solid. Describe the solid.

$\pi {\int}_{0}^{1}({y}^{4}-{y}^{8})dy$

a) The integral describes the volume of the solid obtained by rotating the region $R=\{\{x,\text{}y\}|0\le y\le 1,\text{}{y}^{4}\le x\le {y}^{2}\}$ of the xy-plane about the x-axis.

b) The integral describes the volume of the solid obtained by rotating the region $R=\{\{x,\text{}y\}|0\le y\le 1,\text{}{y}^{2}\le x\le {y}^{4}\}$ of the xy-plane about the x-axis.

c) The integral describes the volume of the solid obtained by rotating the region $R=\{\{x,\text{}y\}|0\le y\le 1,\text{}{y}^{4}\le x\le {y}^{2}\}$ of the xy-plane about the y-axis.

d) The integral describes the volume of the solid obtained by rotating the region $R=\{\{x,\text{}y\}|0\le y\le 1,\text{}{y}^{2}\le x\le {y}^{4}\}$ of the xy-plane about the y-axis.

e) The integral describes the volume of the solid obtained by rotating the region $R=\{\{x,\text{}y\}|0\le y\le 1,\text{}{y}^{4}\le x\le {y}^{8}\}$ of the xy-plane about the y-axis.