8. Applications of Integration

Volume With Washer Method: Revolving Around The X- Or Y-axis — Quiz

Test your understanding of volume with washer method: revolving around the x- or y-axis with 5 practice questions.

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Practice Questions

Question 1

What is the washer method used to find when a solid is formed by revolving a region around an axis?

Question 2

When a region is revolved around the $x$-axis using the washer method, what kind of slices are taken?

Question 3

What is the general formula for volume using the washer method?

Question 4

A region between $y = 4$ and $y = x^2$ is revolved around the $x$-axis for $-2 \le x \le 2$. What is the outer radius of a washer at a typical $x$-value?

Question 5

A region is revolved around the $x$-axis, and the outer radius is $R(x) = 3$ while the inner radius is $r(x) = 1$. What is the area of one washer?