#### To determine

**To find:** volume of solid obtained by rotating about the y-axis the region bounded by the curves y=e-x2, y=0, x=0 and x=1

#### Answer

**Answer: V=1.98586**

#### Explanation

We Know

V= ∫x=ab2πxfxdx

V=∫x=012πxe-x2dx= π∫012xe-x2dx

We substitute u=x2, then du=2xdx

V=π∫01e-udu=π-e-u01=π1-e-1≅1.98586

**Conclusion:** V=1.98586