Mathematical Calculators

Cone Volume Calculator

This calculator calculates cone volume and can be used to solve school problems.

Square footage calculator

Choose the shape:

Table of contents

What is a cone?
What is volume?
Truncated cone volume (volume of frustum)
Oblique cone volume
Manually calculate a cone volume.
Relationship between the volume of a cone and a cylinder
What is the volume of a typical ice cream cone?
Conversion table and units of volume

What is a cone?

A cone is solid with a circular base and one vertex.
A cone with a polygonal basis is known as a pyramid.

What is volume?

The volume describes the space that an object, or substance, takes up. The volume of the container is a measure of its capacity. This does not necessarily refer to the amount of space it takes up. SI unit for volume is Cubic meter (m^3).

Truncated cone volume (volume of frustum)

A truncated cone is the cone where the top has been cut off and the height cut perpendicular. Calculating the frustum volume can be done by subtracting the smaller cone volume (the cut) from, the larger base volume. Or you can use the formula:
volume = (1 / 3) * π * depth * (ᵣ² + r * R + R²)
R: radius of the base of the cone
r: top surface radius

Oblique cone volume

An oblique cone is a cone whose apex is not above the center of its base. It is inclined to one side, similar to the oblique cylindrical. The cone volume formula for the oblique cone will be the same as the right one.

Manually calculate a cone volume.

These are the steps you need to follow in order to determine the volume of cones:
Find the base for the cone. Find it if you don't know the cone's base radius.
Find the height.
The convex volume formula will be applied. Use volume = (1 / 3) * a * h, if you know your base area or volume = (1 / 3) * π * ᵣ² * h.

Relationship between the volume of a cone and a cylinder

A cone and a cylinder should have the same height and radius at the base. The volume of the cone will equal one-third of the volume of the cylinder. This means that you would need three cones to fill this cylinder. This same relationship applies to the volume of a pyramid or a prism, given that they both have the same height and base area.

What is the volume of a typical ice cream cone?

Although the size of an ice cream waffle can vary widely, there are some sizes that can be considered to be common:
Radius Height Volume
1 in 6 in 6.3 cu in
3 cm 11 cm 34.6 cm³
2.5 cm 11.5 cm 30.1 cm³
1 7/8 in 4 5/8 in 9.1 cu in
1 3/16 in 6 in 7.5 cu in

Conversion table and units of volume

These are the most popular units of volume:
Metric volume units
Standard US, UK

Parmis Kazemi
Article author
Parmis Kazemi
Parmis is a content creator who has a passion for writing and creating new things. She is also highly interested in tech and enjoys learning new things.

Cone Volume Calculator English
Published: Thu Mar 10 2022
In category Mathematical calculators
Add Cone Volume Calculator to your own website

Other mathematical calculators

Vector Cross Product Calculator

30 60 90 Triangle Calculator

Expected Value Calculator

Online Scientific Calculator

Standard Deviation Calculator

Percentage Calculator

Fractions Calculator

Pounds To Cups Converter: Flour, Sugar, Milk..

Circle Circumference Calculator

Double Angle Formula Calculator

Mathematical Root Calculator (square Root Calculator)

Triangle Area Calculator

Coterminal Angle Calculator

Dot Product Calculator

Midpoint Calculator

Significant Figures Converter (Sig Figs Calculator)

Arc Length Calculator For Circle

Point Estimate Calculator

Percentage Increase Calculator

Percentage Difference Calculator

Linear Interpolation Calculator

QR Decomposition Calculator

Matrix Transpose Calculator

Triangle Hypotenuse Calculator

Trigonometry Calculator

Right Triangle Side And Angle Calculator (triangle Calculator)

45 45 90 Triangle Calculator (right Triangle Calculator)

Matrix Multiply Calculator

Average Calculator

Random Number Generator

Margin Of Error Calculator

Angle Between Two Vectors Calculator

LCM Calculator - Least Common Multiple Calculator

Square Footage Calculator

Exponent Calculator (power Calculator)

Math Remainder Calculator

Rule Of Three Calculator - Direct Proportion

Quadratic Formula Calculator

Sum Calculator

Perimeter Calculator

Z Score Calculator (z Value)

Fibonacci Calculator

Capsule Volume Calculator

Pyramid Volume Calculator

Triangular Prism Volume Calculator

Rectangle Volume Calculator

Cube Volume Calculator

Cylinder Volume Calculator

Scale Factor Dilation Calculator

Shannon Diversity Index Calculator

Bayes Theorem Calculator

Antilogarithm Calculator

Eˣ Calculator

Prime Number Calculator

Exponential Growth Calculator

Sample Size Calculator

Inverse Logarithm (log) Calculator

Poisson Distribution Calculator

Multiplicative Inverse Calculator

Marks Percentage Calculator

Ratio Calculator

Empirical Rule Calculator

P-value-calculator

Sphere Volume Calculator

NPV Calculator