Surface Area Of Oloid Given Height Calculator

Surface Area of Oloid Formula:

\[ SA = (4 \times \pi) \times \left(\frac{h}{2}\right)^2 \]

Surface Area of Oloid:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Surface Area of Oloid?

The Surface Area of Oloid shape is the sum of all of the surface areas of each of the sides of Oloid. An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929.

2. How Does the Calculator Work?

The calculator uses the Surface Area of Oloid formula:

\[ SA = (4 \times \pi) \times \left(\frac{h}{2}\right)^2 \]

Where:

\( SA \) — Surface Area of Oloid (m²)
\( \pi \) — Archimedes' constant (approximately 3.14159)
\( h \) — Height of Oloid (m)

Explanation: The formula calculates the total surface area of an oloid based on its height, using the mathematical constant π for circular calculations.

3. Importance of Surface Area Calculation

Details: Calculating the surface area of an oloid is important in various engineering and design applications, particularly in fluid dynamics, architectural design, and mechanical engineering where this unique geometric shape is utilized.

4. Using the Calculator

Tips: Enter the height of the oloid in meters. The value must be valid (height > 0). The calculator will compute the surface area using the formula.

5. Frequently Asked Questions (FAQ)

Q1: What is an oloid?
A: An oloid is a three-dimensional curved geometric shape discovered by Paul Schatz. It's the convex hull of a skeletal frame made by placing two linked congruent circles in perpendicular planes.

Q2: What are the applications of oloids?
A: Oloids are used in various applications including mixing devices, architectural designs, and as mathematical objects of study due to their unique rolling properties.

Q3: How is the height of an oloid defined?
A: The height of an oloid is defined as the distance between the center of the circular base to any point on the circumference of the Oloid.

Q4: Are there other formulas for oloid surface area?
A: While this is the standard formula, there are alternative formulations that might use different parameters, but this height-based formula is commonly used.

Q5: What units should be used for input?
A: The calculator expects height input in meters, and returns surface area in square meters. For other units, appropriate conversions should be applied.