1. What is the Height of Frustum of Cone?

The height of a frustum of a cone is the perpendicular distance between the two parallel bases of the frustum. It's an important measurement in geometry and engineering applications involving conical sections.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of the frustum
• \( V \) — Volume of the frustum
• \( r_1 \) — Radius of the top base
• \( r_2 \) — Radius of the bottom base
• \( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: This formula calculates the height of a frustum when you know its volume and the radii of both circular bases.

3. Importance of Height Calculation

Details: Calculating the height of a frustum is essential in various engineering and architectural applications, including container design, construction of conical structures, and volume calculations for storage tanks.

4. Using the Calculator

Tips: Enter the volume in cubic meters, and both radii in meters. All values must be positive numbers. The calculator will compute the height of the frustum.

5. Frequently Asked Questions (FAQ)

Q1: What is a frustum of a cone?
A: A frustum is the portion of a cone that remains after cutting off the top by a plane parallel to the base.

Q2: Can this formula be used for any frustum?
A: Yes, this formula works for any right circular conical frustum where the cutting plane is parallel to the base.

Q3: What if both radii are equal?
A: If both radii are equal, the frustum becomes a cylinder, and the formula simplifies to the cylinder height formula.

Q4: What units should I use?
A: Use consistent units (e.g., meters for all measurements). The result will be in the same length unit as the radii.

Q5: Can the height be negative?
A: No, height is always a positive value representing a physical distance.