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Volume Calculator by Shape

Volume Formulas:

\[ V_{rect} = L \times W \times H \] \[ V_{cyl} = \pi \times r^2 \times h \]

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1. What is a Volume Calculator by Shape?

Definition: This calculator estimates the volume of different geometric shapes including rectangular prisms and cylinders.

Purpose: It helps students, engineers, and professionals quickly calculate volumes for various applications in construction, manufacturing, and design.

2. How Does the Calculator Work?

The calculator uses different formulas based on shape:

\[ V_{rect} = L \times W \times H \] \[ V_{cyl} = \pi \times r^2 \times h \]

Where:

Explanation: The appropriate formula is applied based on the selected shape to calculate the three-dimensional space occupied.

3. Importance of Volume Calculation

Details: Volume calculations are fundamental in material estimation, capacity planning, and structural design across various industries.

4. Using the Calculator

Tips: Select the shape, enter the required dimensions (all must be > 0), and click Calculate. The calculator will automatically show the relevant input fields.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use any consistent unit (meters, feet, inches, etc.) for all dimensions. The result will be in cubic units of your input.

Q2: Can I calculate volume for other shapes?
A: Currently this calculator supports rectangular and cylindrical shapes. More shapes may be added in future updates.

Q3: How precise are the calculations?
A: Results are precise to 3 decimal places. Cylindrical calculations use π to high precision.

Q4: Can I calculate volume in gallons or liters?
A: First calculate in cubic units, then convert using appropriate conversion factors (1 cubic foot ≈ 7.48 gallons).

Q5: Why does the form change when I select different shapes?
A: The calculator dynamically shows only the input fields needed for the selected shape to simplify the interface.

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