3. Consider the region bounded by the curves $y = - 2 x^{2} + 2$ and $y = - x^{2} + 1$ . Find the volume of the solid obtained by rotating this region around the $x$ -axis. [Hint: your slices will be washers, and the area of a washer is $π R^{2} - π r^{2}$ , where $R$ is the outer radius, and $r$ is the inner radius.]

Question

3. Consider the region bounded by the curves

y = - 2 x^{2} + 2

and

y = - x^{2} + 1

. Find the volume of the solid obtained by rotating this region around the

x

-axis. [Hint: your slices will be washers, and the area of a washer is

π R^{2} - π r^{2}

, where

R

is the outer radius, and

r

is the inner radius.]

Accepted Answer

Expert Answer to -  3. Consider the region bounded by the curves y=2x2+2 and y=x2+1. Find the volume of the solid

Answer

Solution for -  3. Consider the region bounded by the curves y=2x2+2 and y=x2+1. Find the volume of the solid

Answer

This an additional answer to -  3. Consider the region bounded by the curves y=2x2+2 and y=x2+1. Find the volume of the solid

(Solved): 3. Consider the region bounded by the curves y=2x2+2 and y=x2+1. Find the volume of the solid ...