$[-/8\mathrm{.}33$ Points$]$

DETAILS

MY NOTES

LARCALCET$77\mathrm{.}3\mathrm{.}024.$

Use the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line $x=6.$

$y=\sqrt[\phantom{2}]{x}$

$y=0$

$x=1$

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$6.[5\mathrm{.}56/8\mathrm{.}35$ Points$]$

MY NOTES

LARCALCET$77\mathrm{.}3\mathrm{.}029.$

Use the disk method or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line.

$y=x^2$

$y=0$

$x=3$

$($a$)$ the x$-$axis

$2\mathrm{.}43$

$($b$)$ the $y-$axis

$$

$\frac{81}{2}$

$($c$)$ the line $x=6$

$$