Math$1411$

Volumes $(6\mathrm{.}1+6\mathrm{.}2)$

Rasha Shadid

Q$1)$ Consider the region in the first quadrant enclosed between $y=x^3+3,y=4,$ and $y-$axis.

Find the volume of the solid of revolution in the cases below. $($Do not evaluate the integrals$)$

$($a$)$ The axis of revolution is the $y-$axis. Use the disk method.

$($b$)$ The axis of revolution is the $x-$axis. Use the washer method.

$($c$)$ The axis of revolution is the line $y=1.$ Use the shell method

$($d$)$ The axis of revolution is the line $x=-1.$ Use the shell method.

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