Cone Volume Calculator
Calculate the volume, slant height, and surface area of a cone by entering the radius and height. Step-by-step formulas included.
How to Use the Cone Volume Calculator
- Enter the required dimensions (length, width, radius, height, etc.).
- The area, volume, or other geometric value is computed instantly.
- Review the result along with the formula used.
- Adjust dimensions to compare different scenarios.
Schnellreferenz
| Von | Nach |
|---|---|
| r=1, h=3 | 3.14 |
| r=2, h=6 | 25.13 |
| r=3, h=9 | 84.82 |
| r=5, h=10 | 261.80 |
| r=5, h=15 | 392.70 |
| r=10, h=20 | 2,094.40 |
Anwendungsfälle
- •Calculating dimensions for home improvement or DIY projects.
- •Solving geometry problems for school or professional exams.
- •Estimating material quantities needed for construction work.
- •Planning layouts and designs with precise measurements.
Formel
Formulas: Volume V = (1/3)πr²h, Slant height l = √(r² + h²), Lateral area S_lat = πrl, Total area S_tot = πr(r + l).
Häufig gestellte Fragen
How do you calculate the volume of a cone?
The volume is one-third of a cylinder with the same base and height: V = (1/3)πr²h.
What is the slant height?
The slant height is the distance from the apex to any point on the base circle: l = √(r² + h²).
How do you find the lateral surface area of a cone?
Multiply π by the radius and the slant height: S_lat = πrl.
What is the total surface area?
Add the lateral area and the base area: S_tot = πrl + πr² = πr(r + l).