🎓 Mathematics • Geometry
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Volume Calculator
Solves 3D solid volume and surface area for Cubes, Rectangular Prisms, Cylinders, Spheres, and Cones.
Geometry & Trigonometry Engine
Geometry, Area & Volume Studio
Solve triangles with Heron's formula and Law of Cosines, calculate circle sector arcs, compute 2D planar areas, 3D volumes, and exact Pythagorean radicals.
Select 3D Solid
Cylinder Volume
V = πr²h, A = 2πrh + 2πr²
Volume = 226.195
Surface Area = 207.345
What is 3D Volume?
Volume measures three-dimensional containment capacity in cubic units (m³, liters, ft³).
Formula & Step-by-Step Calculation
Cylinder: πr²h, Sphere: ⁴⁄₃πr³, Cone: ⅓πr²h
Solid geometry volume formulas.
Worked Step-by-Step Examples
Example 1
Volume of sphere with radius 3
Solution: 113.10
• (4/3) × π × 27 = 36π ≈ 113.10
Common Real-World & Academic Use Cases
- ✓ Liquid storage tanks
- ✓ Package courier volumetric weight
- ✓ Concrete pouring volume
How to Use the Volume Calculator
1
Select Solid
Choose cylinder, sphere, box, or cone.
2
Input Measurements
Enter radius and height.
3
Inspect Volume
Review cubic volume and total surface area.
Frequently Asked Questions
Q: What is the surface area of a sphere?
A = 4πr².