Volume of Cone Calculator
Calculate volume and surface area of a cone
How to Calculate Cone Volume
Enter Radius
Input the radius of the circular base of the cone in your preferred unit.
Input Height
Enter the perpendicular height from the base to the apex (tip) of the cone.
Get Complete Results
Click calculate to see volume, slant height, lateral area, and total surface area.
Key Features of This Cone Calculator
**Complete Calculations**
Computes volume, slant height, lateral surface area, and total surface area in one go.
**Accurate Formulas**
Uses V = ⅓πr²h for volume and proper geometric formulas for all measurements.
**4 Decimal Precision**
Results shown to 4 decimal places for engineering and academic accuracy.
**Free & Instant
No registration needed. Get accurate cone calculations immediately.
Frequently Asked Questions
What is the formula for the volume of a cone?
The volume of a cone is V = ⅓πr²h, where r is the radius of the base and h is the height. A cone's volume is exactly one-third of a cylinder with the same base and height.
How do I find the slant height of a cone?
The slant height is calculated using the Pythagorean theorem: s = √(r² + h²), where r is the radius and h is the height of the cone.
What is the difference between lateral and total surface area?
Lateral area is just the curved side surface (πrs). Total surface area includes the base: πr(r + s), where s is the slant height.
Where are cone volume calculations used?
Cone calculations are used in engineering (funnels, hoppers), food industry (ice cream cones, traffic cones), architecture (towers, spires), and mathematics education.
Can this calculator handle oblique cones?
This calculator is designed for right circular cones where the apex is directly above the center of the base. For oblique cones, the same volume formula applies if you use perpendicular height.
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