Cone Volume Calculator
Calculate the volume of a cone with interactive 3D visualization.
Input Parameters
units
units
Result
Volume of Cone (V):
3D Visualization
Formula
The volume of a cone is given by the formula:
$$ V = \frac{1}{3} \pi r^2 h $$- V is the volume of the cone.
- r is the radius of the circular base.
- h is the height of the cone (perpendicular distance from the base to the apex).
- π (pi) is a mathematical constant approximately equal to 3.14159.
About Cone Volume
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex. The volume of a cone measures the space it occupies. It's a fundamental concept in geometry with applications in various fields, from calculating the capacity of containers to understanding shapes in architecture and engineering.
Uses of Cone Volume Calculation:
- Calculating the amount of material needed to fill a cone-shaped container.
- Determining the capacity of conical tanks or vessels.
- In architecture and construction, for roof designs or decorative elements.
- In mathematics and education for geometry problems and spatial reasoning.
Learn more about cone volume and related concepts on resources like Wikipedia and educational math websites.