Ms. Anastasopoulos has 30 students. 4/5 of the students have pets. OF the students who have pets, 2/3 of them have a dog as a pe
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Using the disk method, the volume would be
That is, you split up the solid into disks of some small height ∆<em>x</em>, and each disk has radius at point <em>x</em> equal to the distance (√(<em>x</em>)) from the axis of revolution (the <em>x</em>-axis, <em>y</em> = 0) to the curve <em>y</em> = √(<em>x</em>). The volume of such a disk is then <em>π</em> (√(<em>x</em>))² ∆<em>x</em>. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆<em>x</em> with d<em>x</em> and the sum with the integral.