MathematicsShapes
2D & 3D Geometry Shape Calculator
Compute area, perimeter, surface area, and volume for 2D and 3D geometric shapes including circles, cylinders, spheres, cones, and rectangles.
Select Shape
cylinder Geometric Outputs
Total Volume (V):
942.4778
Surface Area (A): 534.0708
Mathematical Formula: Area & Volume Equations
Circle: A = πr² | Sphere: V = 4/3 πr³ | Cylinder: V = πr²h
Standard Euclidean geometric formulas for planar and volumetric solids.
How to Use This Calculator
- 1Select a 2D or 3D shape from the dropdown (Circle, Rectangle, Triangle, Sphere, Cylinder, Cone).
- 2Input the necessary dimensions (radius, length, width, or height).
- 3Get area, perimeter/circumference, surface area, and volume instantly.
Practical Example: Cylinder Volume & Surface Area
Scenario: Radius = 5 cm, Height = 12 cm
Shape:Cylinder
Radius:5
Height:12
Result: Volume: 942.48 cm³ | Surface Area: 534.07 cm²
V = π × 5² × 12 = 300π ≈ 942.48.
Frequently Asked Questions
The volume of a sphere is V = (4/3) × π × r³, where r is the radius of the sphere.
Pro Calculation Tips
- Keep all input measurement units consistent (e.g., all in cm or all in inches) before calculating.
Model Assumptions
- Assumes regular, symmetrical geometric forms.