On the fifth grade class trip, Mirror Lake Elementary School has 168 students and chaperons going on. Each bus can hold 54 peopl
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Answer:
Step-by-step explanation:
For this case we have the following plot on the figure attached.
We know on this case that represent our radius for the square, since we need cross sections perpendicular to the y axis.
We find the intersection points like this:
Since we are assuming squares for the cross sections the area is given by where r = x= -2y+6.
Since our radius is on terms of x we can create a integral with limits on x in order to find the volume, And we can use the following integral in order to find the volume.
On the left part we are using the following property from algebra:
And after do the integral we got this:
