Volumes with Cross Sections: Triangles/Semicircles Practice Test

What integral gives the volume if the base is bounded by $y=1-x$ and $y=0$ on $0\le x\le 1$, with semicircular cross sections perpendicular to the $x$-axis?

What integral gives the volume if the base is bounded by $y=1$ and $y=\sin x$ on $0\le x\le \pi$, with equilateral triangular cross sections perpendicular to the $x$-axis?