Volumes of solids with known cross sections

0/1

0/2

A solid has a base bounded by $y=- {x\over2}+1$ $y = - \frac{x}{2} + 1$ , $x=-2$ $x = - 2$ ,and $x=1$ $x = 1$ . If the parallel cross-sections perpendicular to the base are squares, find the volume of this solid.
A solid has a base bounded by these two curves, y= sin x, y= cos x. If the parallel cross-sections perpendicular to the base are equilateral triangles, find the volume of this solid.

Volumes of solid with known cross-sections