Question $7$ of $10$

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A solid has a base bounded by the graph $x^2+y^2=9.$ Find the volume $V$ of the solid if every cross section perpendicular to the $x-$axis is the base of a right isosceles triangle.

Give a formula for the length of the base of a cross section in terms of $x_i.$

$b_i=$

Give a formula for the area of a cross section in terms of $x_i.$

$A_i=$

What is the volume of the solid? Give an exact answer.

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HE$|F^2$

$V=$

$$ cubic units