Hole Volume Calculator

Last updated: 11 Jun 2025 | Author: Brij | Review By: Irshad

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Easily calculate the volume of cylindrical, rectangular, conical, and spherical holes using our free Hole Volume Calculator.

Hole Shape:

Diameter:

Depth/Height:

Hole Volume Results

Volume:

cubic ft

Volume:

liters

Volume:

gallons

Hole Volume Formulas:

• Cylindrical: V = π × r² × h
• Rectangular: V = l × w × d
• Conical: V = (1/3) × π × r² × h
• Spherical: V = (4/3) × π × r³

The Hole Volume Calculator is a simple yet powerful tool that helps you estimate the volume of holes in various shapes including cylindrical, rectangular, conical, and spherical. This is especially useful for excavation, construction, landscaping, or any project where you need to know how much material is being removed or needs to be filled.

Hole Volume Formulas

1. Rectangular Hole Volume

Formula:

$V = L \times W \times H$

Where:

$L$ = Length
$W$ = Width
$H$ = Height (or Depth)
$V$ = Volume in cubic units

Example:

Let’s say the length is 3 ft, width is 2 ft, and height is 4 ft:

$V = 3 \times 2 \times 4 = 24 \, \text{ft}^3$

2. Cylindrical Hole Volume

Formula:

$V = \pi r^2 h$

Where:

$r$ = Radius (half of diameter)
$h$ = Height or Depth

Example:

Diameter = 4 ft → Radius = 2 ft

Height = 5 ft

$V = \pi \times (2)^2 \times 5 = \pi \times 4 \times 5 = 62.83 \, \text{ft}^3$

3. Conical Hole Volume

Formula:

$V = \frac{1}{3} \pi r^2 h$

Where:

$r$ = Radius (half of diameter)
$h$ = Height or Depth

Example:

Diameter = 3 ft → Radius = 1.5 ft

Height = 5 ft

$V = \frac{1}{3} \pi (1.5)^2 \times 5 = \frac{1}{3} \pi \times 2.25 \times 5 = 11.78 \, \text{ft}^3$

4. Spherical Hole Volume

Formula:

$V = \frac{4}{3} \pi r^3$

Where:

$r$ = Radius (half of diameter)

Example:

Diameter = 4 ft → Radius = 2 ft

$V = \frac{4}{3} \pi (2)^3 = \frac{4}{3} \pi \times 8 = 33.51 \, \text{ft}^3$

Why Use a Hole Volume Calculator?

✅ Quickly estimate excavation volumes
✅ Determine material required for filling holes
✅ Ideal for construction, plumbing, landscaping, and civil engineering
✅ Supports multiple shapes with accurate results

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