Cone Volume Calculator

Quickly calculate the volume of a cone by entering its radius and height.

Radius (r):

units

Height (h):

units

Visual Representation

Enter radius and height to visualize the cone.

Result:

Volume: cubic units

Formula Used: $$V = {1 \over 3} \pi r^2 h$$

Understanding 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 is the amount of space it occupies. It is calculated using the formula:

$$V = {1 \over 3} \pi r^2 h$$

Where:

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.

This calculator simplifies the process of finding the volume of a cone, whether for educational purposes, engineering projects, or any situation requiring volume calculations. Simply input the radius and height, and get the volume instantly!