The Volume of Paraboloid calculator computes the volume of revolution of a parabola around an axis of length (a) of a width of (b) .
INSTRUCTIONS: Choose units and enter the following:
Volume of Paraboloid (V): The volume is returned in cubic meters. However, this can be automatically converted to other volume units (e.g. gallons or cubic inches) via the pull-down menu.
The formula for the volume of a paraboloid is:
V = ½π•b²•a
where:
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. Fluid objects have separate units such as fluid ounces, gallons, barrel and liters.
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. The most basic form is an Area times a Height.