# Area, Volume, and Arc Length

### Exercises

Page (2 of 2) Exercises: 1 2

#### Exercise 2

Let *R* be the region bounded by the graph *y* = 2*x* – *x*^{2} and the *x* axis.

(a) Sketch the solid obtained by rotating *R* around the *y*-axis.

(b) Is it easier to use washers or shells to find the volume of the solid you drew in (a)? Why?

(c) Write an integral expression for the volume of the solid you drew in (a).

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