Cone volume calculator

From ancient times, people needed to measure the amount of various substances. Bulk substances and liquids could be measured by filling them with vessels of a certain capacity, determining their quantity by volume. The concept of volume in solid geometry is introduced similarly to the concept of area in plane geometry. In plane geometry, we determined the area like this: the area of ​​a polygon is the value of the part of the plane that the polygon occupies. To formulate the concept of volume similarly to this concept. The magnitude of the part of the space occupied by the geometric body is called the volume of this body. Volume is measured in "cubic" units.

Cone — is a body in Euclidean space obtained by combining all the rays emanating from one point (vertex of the cone) and passing through a flat surface. Sometimes a cone is a part of such a body that has a limited volume and is obtained by combining all the segments connecting the vertex and the points of a flat surface (in this case latter is called the base of the cone, and the cone is called leaning on this base). If the base of the cone is a polygon, such a cone is a pyramid.

A cone is a three-dimensional shape that tapers from a flat circular base to a single point. The volume of the cone is equal to one third of the product of area of the base and the height of the cone, and calculated by the following formulas:

V = \dfrac{1}{3}Sh

Or:

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

where V is the volume, S is the area of the base, r is the radius of the base, and h is the height of the cone.

Using the Cone Volume Calculator

To calculate the volume of a cone, simply enter the radius and height of the cone into the calculator and it will automatically calculate the volume for you:

Example: Calculating Cone Volume

Let's say we have a cone with a radius of 5 cm and a height of 10 cm. To calculate the volume of the cone, we can use the formula:

V = \dfrac{1}{3}\pi 5^2 10

Plugging in the values, we get:

V = \dfrac{1}{3} 3.14 5^2 10

Simplifying, we get:

V = 261.8

So the volume of the cone is 261.8 cubic centimeters.

Conclusion

Calculating the volume of a cone is an important skill in geometry. Our cone volume calculator and formula make it easy to find the volume of your cone. Try it out for yourself and see how easy it can be!