Free Volume of Cone Calculator
Calculate the volume and surface area of a cone from its radius and height.
Volume
75.3982
Lateral Area80.5253
Total Surface Area108.7997
Slant8.5440
Base Area28.2743
How to Calculate the Volume of a Cone
Formula
V = (1/3) × π × r² × h
A cone has exactly 1/3 the volume of a cylinder with the same base and height.
Where:
Slant Height
l = √(r² + h²)
Surface Area
Example Calculation
Find the volume of a cone with radius 3 and height 8.
- 01V = (1/3) × π × 3² × 8
- 02= (1/3) × π × 9 × 8
- 03= (1/3) × 72π
- 04= 24π
- 05≈ 75.3982
- 06Slant height = √(9 + 64) = √73 ≈ 8.5440
Frequently Asked Questions
Learn More
How to Calculate Percentages - Complete Guide
Learn how to calculate percentages step by step. Covers finding a percentage of a number, percentage change, reverse percentages, and real-world applications.