(Solved): Use the region in the first quadrant bounded by the \( x \)-axis and the graph of \( y=x \sqrt{3-x ...

Use the region in the first quadrant bounded by the \( x \)-axis and the graph of \( y=x \sqrt{3-x} \). Find the volume of a solid of revolution generated by revolving this region about the \( x \)-axis. (Give answer in exact form. Use symbolic notation and fractions where needed.) volume Find the volume of a solid of revolution generated by revolving this region about the \( y \)-axis. (Give answer in exact form. Use symbolic notation and fractions where needed.) Incorrect Find the volume of a solid of revolution generated by revolving this region about the line \( x=-6 \). (Give answer in exact form. Use symbolic notation and fractions where needed.) Find the volume of a solid of revolution generated by revolving this region about the line \( x=-6 \). (Give answer in exact form. Use symbolic notation and fractions where needed.) \( \mathrm{Vc} \) Incorrect Find the volume of a solid of revolution generated by revolving this region about the line \( y=-6 \). (Give answer in exact form. Use symbolic notation and fractions where needed.) volume: \( \quad \frac{459 \pi}{4}+\frac{16 \pi \cdot 3^{\frac{5}{2}}}{5} \) Incorrect