Washer and Disc Method Review --Ms. Li

Which of the following best describes when to use the washer method instead of the disc method for finding the volume of a solid of revolution?

• When the region being revolved is bounded by only one curve and the axis of rotation.

• When the region being revolved is bounded by two different curves and there is a hole in the middle.

• When the region is a rectangle.

For the washer method, what do the terms "big R" and "little r" represent?

• The radii of the outer and inner cylinders, respectively.

• The radii of the outer and inner curves from the axis of rotation, respectively.

• The height and width of the region.

• The limits of integration.

When using the disc method, what must be true about the region being revolved?

• It must be bounded by two curves.

• It must not have a hole in the middle.

• It must be a rectangle.

Which of the following is true about the disc and washer methods?

• Both methods require two bounding curves.

• The disc method is a special case of the washer method when the inner radius is zero.

• The washer method is a special case of the disc method.

Volume using washers revolving around horizontal line. 

Tags

CCSS.HSG.GMD.A.2

CCSS.HSG.GMD.A.3

Volume using washers revolving around vertical line.

Volume using discs revolving around horizontal line. 

Volume using discs revolving around vertical line.