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Volume of a Cone

V = (1/3)πr²h

📖 What is the Volume of a Cone?

A cone is exactly one-third the volume of a cylinder with the same base and height. This explains the 1/3 factor in the formula. Think of ice cream cones, party hats, or funnels.

V = (1/3) × π × r² × h

🔤 Variables

V
Volume (cubic units)The 3D space inside the cone
r
Radius of baseThe radius of the circular base of the cone
h
HeightThe perpendicular height from base to apex

📝 Example

An ice cream cone has base radius 4 cm and height 9 cm. What is its volume?

1
Identify valuesr = 4 cm    h = 9 cm
2
Calculate r²r² = 16
3
Apply formulaV = (1/3) × π × 16 × 9 = 48π
✓
Answer: V ≈ 150.80 cm³

🧮 Interactive Calculator

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🔗 Related

🎯 Quick Fact

If you fill a cone with water and pour it into a cylinder with the same base and height, you'll need to do it exactly 3 times to fill the cylinder!