Volume
Having a right circular cylinder with a height h units and a base of radius r units with the coordinate axes chosen so that the origin is at the center of one base and the height is measured along the positive x-axis. A plane section at a distance of x units from the origin has an area of A(x) square units where
or
An element of volume, is a right cylinder of base area Awi square units and a thickness of Δix units. Thus if V cubic units is the volume of the right circular cylinder, by Riemann sums,
Using cylindrical coordinates, the volume can be calculated by integration over
Read more about this topic: Cylinder (geometry)
Famous quotes containing the word volume:
“To be thoroughly conversant with a Man’s heart, is to take our final lesson in the iron-clasped volume of despair.”
—Edgar Allan Poe (1809–1845)
“The other 1000 are principally the ‘old Yankee stock,’ who have lost the town, politically, to the Portuguese; who deplore the influx of the ‘off-Cape furriners’; and to whom a volume of genealogy is a piece of escape literature.”
—For the State of Massachusetts, U.S. public relief program (1935-1943)
“We are too civil to books. For a few golden sentences we will turn over and actually read a volume of four or five hundred pages.”
—Ralph Waldo Emerson (1803–1882)