Torus - Volume

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Last modified by

KurtHeckman

on

Jul 20, 2024, 2:43:23 PM

Created by

KurtHeckman

on

Jan 11, 2014, 3:58:47 PM

$V = 1/4 pi^2 ( "a" + "b" )( "b" - "a" )^2$

$(a) "Inner Radius"$

$(b) "Outer Radius"$

The Math / Science

The formula for the volume of a torus is:

V = (π²/4)•(a+b)•(b-a)²

where:

V is the volume of the torus
a is the inner diameter
b is the outer diameter

Torus Calculators

Volume is a three dimensional measurement of the amount of space taken up by an object. Volume units are cubic measurements for solid objects such as cubic inches and cubic meters. Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel.

The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape. Many such calculations are available in the following list of calculators.

In many cases, the calculators are for a column with a geometric shaped base and vertical sides. One basic formula for volume is area times a Height when the volume has vertical sides.