# How do you find the volume of y

How do you find the volume of $y={x}^{2}$ going from [0,2] on the x-axis and [0,4] on the y-axis?
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Jasper Parsons
Volume $=\pi \int {x}^{2}dy$, with y from 2 to 4 and x from $y={x}^{2}$
$=\pi \int ydy$, with y from 2 to 4
$=\pi \left[\frac{{y}^{2}}{2}\right]$, between the limits 2 and 4
$=\frac{\pi }{2}\left({4}^{2}-{2}^{2}\right)=6\pi$ cubic units.