Every one of us is familiar with the shape of a cone. A cone is a three dimensional geometric shape that has a broad base at one end and a narrow tapering end on the other side. A cone is a solid figure that is bounded by a plane base. This article on how to calculate volume of a cone will help you in calculating the volume of cone using simple formula.
The formula for calculating volume of cone is given as,
V = (1/3) π r2 h
In the above formula,
- “V” represents the volume of the cone
- “π” is a constant whose value is 3.14 or 22/7
- “ r” is the radius of the base of the cone
- “h” is the height of the cone
Volume of the cone is measured in cubic units.
If you want to calculate the volume of a cone you need to calculate the radius of the base of the cone and the height of the cone. The height of the cone is measured through the axis of the cone. The axis of the cone is the line that passes through the center of the base of the cone and passes through the converging point of the tapering end.
If you have been given the radius and height of the cone then you can insert these values in the above formula and calculate volume of the cone.
Example:
Suppose you have been given the value of the radius of the cone as 4 cm and height of the cone as 3.5 cm, then you can calculate the volume of the cone as follows,
Given:
Radius = r = 4 cm
Height = h = 3.5 cm
Volume of a cone = (1/3) π r2 h
Therefore,
Volume of a cone = (1/3) × 3.14 × 42 × 3.5
= 58.6133 cm3
You can also use online calculators for calculating volume of a cone inserting the values of radius and height cone into the required fields and click on calculate button. Online calculators can be used if the calculations are big enough.
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