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Math Formulas > Geometry > Volume of a Cylinder

Volume of a Cylinder



r: radius of the caps
h: height

The volume of a cylinder is given by:
V = Π ∙ r2 ∙ h

Π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used.

Example: determine the volume of a cylindrical tank that is 5 meters high and its base area is 12.56 m2.

step 1: determine the radius of the base: since the area of a circle is given by: A = Π ∙ r2, the radius can be found by isolating r from the formula:

r = √( A / Π) = √( 12.56 / 3.14 ) = 2 m

step 2: determine the volume of the tank:

V = Π ∙ r2 ∙ h = 3.14 ∙ 22 ∙ 5 = 62.8 m2

Online Volume Calculator, click on the link will open a new window.

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