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 is 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 frustum (m)
• \( CSA \) — Curved surface area (m²)
• \( r_{top} \) — Top radius (m)
• \( r_{base} \) — Base radius (m)
• \( \pi \) — Mathematical constant (approximately 3.1416)

Explanation: This formula calculates the height of a frustum using its curved surface area and the sum of its top and base radii.

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, and both top and base radii in meters. All values must be positive, 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 have the slant height?
A: If you have the slant height, you can use the Pythagorean theorem: \( h = \sqrt{l^2 - (r_{base} - r_{top})^2} \)

Q4: How accurate is this calculation?
A: The calculation is mathematically exact, provided accurate input values are given.

Q5: What are common applications of frustum calculations?
A: Common applications include calculating volumes of containers, structural elements in architecture, and various engineering components.