Universal Calculator
TAIIR

Volume Calculator

Calculate the volume of any 3D shape instantly. Supports metric and imperial units with step‑by‑step formulas.

Recent

No calculations yet

Mastering Volume Calculations: Complete Guide

Volume quantifies the three‑dimensional space occupied by an object or substance. Whether you're filling a swimming pool, designing a storage tank, or estimating materials for a construction project, accurate volume calculation is essential. This Professional Volume Calculator supports 12 common 3D shapes, provides results in both metric and imperial units, and displays the underlying formula for complete transparency.

Volume Formulas by Shape

  • Sphere: V = ⁴⁄₃·π·r³
  • Cube: V = s³
  • Rectangular Prism: V = l × w × h
  • Cylinder: V = π·r²·h
  • Cone: V = ¹⁄₃·π·r²·h
  • Pyramid: V = ¹⁄₃·l·w·h
  • Hemisphere: V = ²⁄₃·π·r³
  • Ellipsoid: V = ⁴⁄₃·π·a·b·c
  • Capsule: V = π·r²·h + ⁴⁄₃·π·r³
  • Torus: V = 2·π²·R·r²
  • Triangular Prism: V = ½·b·h_tri·l
  • Hollow Cylinder: V = π·(R² − r²)·h

💡 Example: Cylinder with r=2m, h=5m

V = π·2²·5 = π·4·5 = 20π ≈ 62.83 m³. In liters: 62.83 × 1000 = 62,830 L.

Unit Conversions

The calculator automatically converts the base volume to other common units. In metric mode, you get cubic meters, cubic centimeters, liters, milliliters, US gallons, cubic feet, and cubic inches. In imperial mode, you get cubic feet, cubic inches, US gallons, liters, cubic meters, and cubic yards.

Frequently Asked Questions

How do I calculate the volume of a swimming pool?

Use the Rectangular Prism shape for rectangular pools, or Cylinder for round pools. For irregular shapes, break it into sections.

What is the difference between volume and capacity?

Volume is the space an object occupies (cubic units). Capacity is what a container can hold (liters/gallons). They are numerically equal but use different units.

How do I convert cubic feet to gallons?

1 ft³ ≈ 7.48 US gallons. The calculator does this automatically when you use imperial mode.

Can I use this for liquid volume?

Yes. The results include liters and gallons, which are standard liquid volume units.