Volume Calculator

Calculate three-dimensional volume and total surface area for spheres, cylinders, rectangular prisms, cones, pyramids, and capsules.

Calculator Inputs

Select 3D geometry.
First dimension.
Second dimension.

Calculated Results

Total Volume (V)
502.65 cu units
Total Surface Area 351.86 sq units
Geometry Cylinder (r=4, h=10)
Liquid Capacity (Gallons approx) 2.18 gal
Values calculate live as you adjust inputs.

About Volume Calculator

A volume calculator computes the three-dimensional space occupied by a solid object, expressed in cubic units (e.g. cubic inches, cubic meters).

What is Volume Calculator?

A volume calculator computes the three-dimensional space occupied by a solid object, expressed in cubic units (e.g. cubic inches, cubic meters).

How to Use This Calculator

  1. Select the 3D solid geometry.
  2. Enter known linear dimensions (radius, length, height).
  3. Review volume and total enclosing surface area.

The Mathematical Formula & Variables

Cylinder: pi * r^2 * h; Sphere: (4/3) * pi * r^3; Box: Length * Width * Height

Variables Definition

Symbol / Variable Name Description
V Cubic Volume Three-dimensional capacity.

Step-by-Step Worked Example

Scenario: Cylinder with radius r = 4 and height h = 10.

  1. Base area = π * 4² = 16 * 3.14159 = 50.265.
  2. Multiply by height: 50.265 * 10 = 502.65 cu units.

Result: Volume = 502.65 cubic units

Frequently Asked Questions

How many cubic inches are in a US liquid gallon?

One US liquid gallon equals exactly 231 cubic inches.