Rotational Solids

\textrm{This demo shows the solids created by rotating curves or rectangles around an axis parallel to the x-axis.} \\ \textrm{The actual area is calculated by } V = \pi \int_a^bf(x)^2 \, dx \\ \textrm{Here, the x-axis is yellow, the y-axis is green, and the z-axis is red.} \\ \textrm{The original (non-rotated) curve is shown in pink.}