1. What is a Truncated Cone?

A truncated cone (also called frustum of a cone) is a cone with the top cut off by a plane parallel to the base. It's a common shape in engineering and manufacturing.

2. How Does the Calculator Work?

The calculator uses the following formulas:

Where:

• \( V \) — Volume of the truncated cone (m³)
• \( h \) — Height of the truncated cone (m)
• \( R \) — Radius of the top base (m)
• \( r \) — Radius of the bottom base (m)
• density — Material density (kg/m³)

Explanation: The formula calculates the volume of the truncated cone first, then multiplies by material density to get weight.

3. Importance of Weight Calculation

Details: Accurate weight calculation is crucial for structural design, material estimation, transportation planning, and cost calculations in construction and manufacturing.

4. Using the Calculator

Tips: Enter all dimensions in meters, density in kg/m³. Ensure all values are positive numbers. Common material densities: steel (7850 kg/m³), aluminum (2700 kg/m³), concrete (2400 kg/m³).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between a cone and truncated cone?
A: A truncated cone has two circular bases (top and bottom) of different sizes, while a regular cone has one circular base and tapers to a point.

Q2: How do I measure the radii?
A: Measure from center to edge of each circular face. Ensure measurements are in the same units (meters recommended).

Q3: Where can I find material densities?
A: Material density tables are available in engineering handbooks or online resources for common materials.

Q4: Can I use different units?
A: The calculator uses meters for dimensions. Convert other units to meters first (1 cm = 0.01 m, 1 mm = 0.001 m).

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect truncated cones. Real-world accuracy depends on measurement precision and material consistency.