Cone Volume Calculator
V = (1/3)πr²h. One-third of the cylinder of same base and height.
Result
Volume
150.7964
(1/3)πr²h = 150.7964.
- Radius4
- Height9
- Slant height9.848858
- Volume150.796447
- Lateral area123.764397
- Base area50.265482
- Total SA174.029880
Step-by-step
- V = (1/3)πr²h = (1/3) × 3.1416 × 4² × 9 = 150.7964.
- Slant height = √(r² + h²) = 9.8489.
- Lateral area = πr × slant = 123.7644.
How to use this calculator
- Enter radius and height.
- Read volume, slant height, surface area.
About this calculator
A cone is a cylinder with one end pinched to a point. Volume = (1/3) × base area × height = (1/3)πr²h — exactly one-third of the corresponding cylinder. Slant height = √(r² + h²) is the distance from apex to base edge. Lateral surface = πr × slant. Used in ice cream cones, party hats, traffic cones, and conical roofs.
Frequently asked
A pyramid (or cone) on the same base and height has 1/3 the volume of a prism (cylinder). Provable via calculus or Cavalieri's principle.
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