Solid of revolution
In
engineering,
manufacturing, and
mathematics; a "
solid of revolution" is some
object which can be visualized by
graphinging a
function, and then
rotating that graph around some
axis, an "
axis of revolution", soas to create a three-dimensional object. A "
surface of revolution" can be created by rotating an
edge around an axis; such an area is equal to 2
π ∫ (
x) [√ (1 + [
f ' (
x)]
2)] (
dx). The quantity, [√ (1 + [
f ' (
x)]
2)], comes from the
arc-length formula.
