By Kris Boulton on the 11th of June, 2012

Given the radius and h, the volume of a cone can be found by using the formula:

Formula: V_{cone} = 1/3 × b × h

b is the area of the base of the cone. Since the base is a circle, area of the base = pi × r^{2}Thus, the formula is V_{cone} = 1/3 × pi × r^{2} × hUse pi = 3.14Example #1:Calculate the volume if r = 2 cm and h = 3 cmV_{cone} = 1/3 × 3.14 × 2^{2} × 3V_{cone} = 1/3 × 3.14 × 4 × 3V_{cone} = 1/3 × 3.14 × 12V_{cone} = 1/3 × 37.68 V_{cone} = 1/3 × 37.68/1V_{cone} = (1 × 37.68)/(3 × 1)V_{cone} = 37.68/3 V_{cone} = 12.56 cm^{3} Example #2:Calculate the volume if r = 4 cm and h = 2 cmV_{cone} = 1/3 × 3.14 × 4^{2} × 2V_{cone} = 1/3 × 3.14 × 16 × 2V_{cone} = 1/3 × 3.14 × 32V_{cone} = 1/3 × 100.48 V_{cone} = 1/3 × 100.48/1V_{cone} = (1 × 100.48)/(3 × 1)V_{cone} = 100.48/3 V_{cone} = 33.49 cm^{3}

Refine By Pinaki Panda on the 16th of January, 2013

Suggested reading…

The volume of an object is the amount of space it takes up. Here are the equations to find the volumes for each of these slightly trickier shapes.

Volume of a Cylinder V = πr^{2}h

Volume of a Cone: V = 1/3 x r^{2}h (h is the perpendicular height)

Volume of a Sphere: V = 4/3 x r^{3}

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