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Volume Calculator by Shape

Volume Formulas:

\[ V = L \times W \times H \] (Rectangular)
\[ V = \pi r^2 h \] (Cylinder)
\[ V = \frac{4}{3} \pi r^3 \] (Sphere)

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1. What is the Formula of Volume?

Definition: Volume is the amount of space occupied by a three-dimensional object.

Purpose: Volume calculations are essential in construction, manufacturing, science, and everyday life for determining capacity, material quantities, and spatial requirements.

2. How Does the Volume Calculator Work?

The calculator uses different formulas based on shape:

\[ V = L \times W \times H \] (Rectangular)
\[ V = \pi r^2 h \] (Cylinder)
\[ V = \frac{4}{3} \pi r^3 \] (Sphere)

Where:

3. Importance of Volume Calculation

Details: Accurate volume calculations are crucial for:

4. Using the Calculator

Tips:

  1. Select the shape you want to calculate
  2. Enter the required dimensions
  3. All values must be positive numbers
  4. The calculator automatically uses the appropriate formula

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use any consistent unit (inches, feet, meters, etc.), but all dimensions must be in the same unit.

Q2: How accurate is the calculator?
A: The calculator provides precise mathematical calculations based on your inputs.

Q3: Can I calculate volume for irregular shapes?
A: This calculator handles standard shapes only. For irregular shapes, use specialized methods.

Q4: Why does the cylinder formula use radius?
A: The standard formula for cylinder volume uses radius (half of diameter) for simplicity.

Q5: How do I convert between volume units?
A: Use our Unit Conversion tool or multiply by appropriate conversion factors.

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