Free Cone Calculator
Volume and surface area of a right circular cone.
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Inputs
Result
Volume
150.796
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Short answer
Volume and surface area of a right circular cone.
What is the Cone Calculator?
Volume and surface area of a right circular cone.
How does the Cone Calculator work?
Enter the inputs above and read the result.
Formula
Variables
slant√(r² + h²)
Explanation
A cone's volume is a third of the equivalent cylinder; surface area adds the base circle to the curved lateral surface.
Examples
Applications
Advantages
Limitations
Common mistakes
Tips
Related concepts
The Cone Calculator sits inside the Math Calculators hub, in the geometry & shapes cluster. Length, area, volume and angle in two and three dimensions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.
Practical use cases and industry applications
Understanding Cone
Volume and surface area of a right circular cone. Within math calculators, cone belongs to the geometry & shapes cluster, where it shares terminology and assumptions with closely related tools.
Learning how cone is calculated
A cone's volume is a third of the equivalent cylinder; surface area adds the base circle to the curved lateral surface. Working through the variables one at a time — slant — makes the result reproducible by hand and easier to sanity-check.
Using cone to make a decision
Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.
How cone compares with related measures
area, perimeter, volume, surface area all describe adjacent aspects of geometry & shapes. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.
Frequently asked questions
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