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Volume Formulas:
Rectangular: \( V = L \times W \times H \)
Cylindrical: \( V = \pi \times r^2 \times h \)
Spherical: \( V = \frac{4}{3} \times \pi \times r^3 \)
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Definition: This calculator computes the volume of various three-dimensional shapes including rectangular prisms, cylinders, and spheres.
Purpose: It helps students, engineers, and professionals quickly determine the capacity or space occupied by different geometric shapes.
The calculator uses different formulas based on the selected shape:
Rectangular: \( V = L \times W \times H \)
Cylindrical: \( V = \pi \times r^2 \times h \)
Spherical: \( V = \frac{4}{3} \times \pi \times r^3 \)
Where:
Details: Volume calculations are essential in construction, manufacturing, packaging, and many scientific applications to determine capacity, material requirements, or space utilization.
Tips: Select the shape, then enter the required dimensions. All values must be positive numbers. The calculator will automatically show the appropriate input fields for each shape.
Q1: What units should I use?
A: Use any consistent unit (inches, feet, meters, etc.) but ensure all dimensions for a calculation use the same unit.
Q2: How accurate is the calculation?
A: The calculation is mathematically precise based on the dimensions you provide. Rounding occurs only in the displayed result.
Q3: Can I calculate volume for irregular shapes?
A: No, this calculator is for regular geometric shapes only. Irregular shapes require different methods.
Q4: Why doesn't the cylindrical formula have π in the result?
A: The calculator uses the actual value of π (pi) in calculations, though it's represented symbolically in the formula.
Q5: Can I calculate partial volumes (like half a sphere)?
A: No, this calculates full volumes. For partial volumes, calculate the full volume then multiply by the fraction needed.