Truncated Cone Volume Calculator
Calculate the volume and lateral surface area of a truncated cone (frustum) by entering the bottom radius, top radius, and height.
How to Use the Truncated 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.
Referencia Rápida
| De | A |
|---|---|
| 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 |
Casos de Uso
- •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.
Fórmula
Formula: V = (πh/3)(R² + r² + Rr). Lateral area: S = π(R+r)l, where l = √(h² + (R−r)²).
Preguntas Frecuentes
What is a truncated cone?
A truncated cone (frustum) is the portion of a cone between two parallel planes cutting through it.
How do you calculate the volume of a truncated cone?
Use V = (πh/3)(R² + r² + Rr), where R is the bottom radius, r is the top radius, and h is the height.
How do you find the slant height?
The slant height l = √(h² + (R−r)²), using the Pythagorean theorem.
What if the top radius is zero?
When r = 0, the frustum becomes a full cone with V = (πh/3)R².