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:
“She carries a book but it is not
the tome of the ancient wisdom,
the pages, I imagine, are the blank pages
of the unwritten volume of the new.”
—Hilda Doolittle (1886–1961)
“A big leather-bound volume makes an ideal razorstrap. A thin book is useful to stick under a table with a broken caster to steady it. A large, flat atlas can be used to cover a window with a broken pane. And a thick, old-fashioned heavy book with a clasp is the finest thing in the world to throw at a noisy cat.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Love is both Creator’s and Saviour’s gospel to mankind; a volume bound in rose-leaves, clasped with violets, and by the beaks of humming-birds printed with peach-juice on the leaves of lilies.”
—Herman Melville (1819–1891)