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Height Of Cylinder Given Total Surface Area And Base Area Calculator

Formula Used:

\[ h = \frac{TSA - 2 \times BA}{2 \times \pi \times \sqrt{\frac{BA}{\pi}}} \]

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1. What is the Height of Cylinder Calculation?

The height of a cylinder given its total surface area and base area is calculated using geometric principles. This calculation is essential in various engineering and architectural applications where cylindrical dimensions need to be determined from known surface measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h = \frac{TSA - 2 \times BA}{2 \times \pi \times r} \]

Where:

Explanation: The formula derives from the total surface area formula of a cylinder: TSA = 2πrh + 2πr², rearranged to solve for height.

3. Importance of Cylinder Height Calculation

Details: Accurate height calculation is crucial for material estimation, structural design, and volume calculations in various engineering fields including civil, mechanical, and architectural engineering.

4. Using the Calculator

Tips: Enter total surface area and base area in square meters. Both values must be positive numbers. The calculator will automatically compute the height based on the geometric relationship between these measurements.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the inputs?
A: The calculator uses square meters for both surface area and base area inputs. Ensure consistent units for accurate results.

Q2: Can this calculator handle different unit systems?
A: The calculator works with any consistent unit system as long as both area inputs use the same units (e.g., both in cm² or both in m²).

Q3: What if I get a negative height result?
A: A negative height indicates invalid input values where the total surface area is less than twice the base area, which is geometrically impossible for a cylinder.

Q4: How accurate is the calculation?
A: The calculation is mathematically exact based on the input values, with results rounded to 4 decimal places for practical use.

Q5: Can this be used for truncated cylinders?
A: No, this calculator is designed for right circular cylinders with parallel bases. Different formulas are needed for truncated cylinders.

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