1. What is the Height of Frustum of Cone?

The height of a frustum of a cone is the perpendicular distance between its two parallel circular bases. It's a crucial 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
• \( CSA \) — Curved Surface Area
• \( r_1 \) — Top radius of the frustum
• \( r_2 \) — Base radius of the frustum
• \( \pi \) — 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 in various engineering and architectural applications, including volume calculations, structural design, and material estimation for conical structures.

4. Using the Calculator

Tips: Enter the curved surface area in square meters, both radii in meters. All values must be positive numbers, and the sum of 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 I only know the slant height?
A: If you know the slant height and both radii, you can use the Pythagorean theorem: \( h = \sqrt{l^2 - (r_2 - r_1)^2} \)

Q4: How accurate is this calculation?
A: The calculation is mathematically exact, provided the input values are accurate and the frustum is a perfect right circular cone section.

Q5: What are practical applications of this calculation?
A: This calculation is used in construction, manufacturing, architecture, and various engineering fields where conical structures are involved.