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 is an important geometric measurement used in various engineering and architectural applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( h \) — Height of the frustum
• \( A \) — Curved surface area of the frustum
• \( R \) — Radius of the bottom base
• \( r \) — Radius of the top base
• \( \pi \) — Mathematical constant (approximately 3.14159)

Explanation: This formula calculates the height of a frustum when the curved surface area and both radii are known.

3. Importance of Height Calculation

Details: Calculating the height of a frustum is essential for determining volume, surface area, and other geometric properties. It has applications in construction, manufacturing, and various engineering fields.

4. Using the Calculator

Tips: Enter the curved surface area and both radii in the appropriate units. All values must be positive, and the sum of the radii must be greater than zero.

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 applies to any right circular conical frustum where the cutting plane is parallel to the base.

Q3: What if the radii are equal?
A: If the radii are equal, the frustum becomes a cylinder, and the formula still applies.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact, assuming precise input values and the frustum being a perfect right circular conical frustum.

Q5: What units should I use?
A: Use consistent units for all measurements (e.g., all in meters or all in inches).