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Annulus Volume Calculator

Annulus Volume Formula:

\[ V = \pi h (R^2 - r^2) \]

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ft
ft

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1. What is Annulus Volume?

An annulus is a ring-shaped object formed between two concentric circles. The volume of an annulus (or annular cylinder) is the space occupied by a three-dimensional annulus with a certain height.

2. How Does the Calculator Work?

The calculator uses the annulus volume formula:

\[ V = \pi h (R^2 - r^2) \]

Where:

Explanation: The formula calculates the difference between the volumes of two cylinders (outer and inner) to determine the volume of the annular space between them.

3. Importance of Annulus Volume Calculation

Details: Calculating annulus volume is important in engineering, construction, and fluid dynamics for determining material requirements, storage capacities, and flow rates in pipes.

4. Using the Calculator

Tips: Enter height in feet, outer radius in feet, and inner radius in feet. All values must be positive numbers with outer radius greater than inner radius.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between an annulus and a cylinder?
A: An annulus is a cylinder with a cylindrical hole through its center, while a regular cylinder is solid.

Q2: Can I use different units for the dimensions?
A: All dimensions must be in the same units. The result will be in cubic units of whatever unit you used for input.

Q3: What if my inner radius is larger than outer radius?
A: The calculator requires outer radius > inner radius. If not, the result would be negative which is physically impossible.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise assuming perfect cylindrical shapes and exact measurements.

Q5: What are practical applications of this calculation?
A: Used in pipe flow calculations, concrete ring foundations, storage tank design, and anywhere cylindrical voids exist.

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