Pipe Volume Calculator

Calculate the volume of a pipe and the weight of water it can hold based on inner diameter and length. Essential for plumbing and hydraulic system design.

Inner Diameter:

Pipe Length:

Understanding Pipe Volume Calculations

Pipe volume calculation is essential in plumbing, industrial fluid systems, and construction projects. This guide explains how to calculate the volume of a cylindrical pipe and determine the weight of water it can hold.

Pipe Volume Formula

The volume of a cylindrical pipe is calculated using:

\[ V = \pi r^2 L \]

Where:

V = Volume of the pipe (cubic feet, ft³)
r = Inner radius of the pipe (feet)
L = Length of the pipe (feet)
π = Pi (approximately 3.14159)

To calculate water weight:

\[ W = V \times 62.4 \]

Where:

W = Weight of water (pounds)
62.4 = Density of water (pounds per cubic foot at 62°F)

Calculation Steps

Convert all measurements to feet
Calculate the radius by dividing the diameter by 2
Apply the volume formula: V = πr²L
Calculate water weight by multiplying volume by 62.4 lb/ft³

Example Calculation

Problem:

Calculate the volume and water weight for a pipe with:

Inner diameter = 12 inches (1 foot)
Length = 20 feet

Solution:

Calculate radius: \[ r = \frac{1 \text{ ft}}{2} = 0.5 \text{ ft} \]
Calculate volume: \[ V = \pi (0.5)^2 \times 20 = 15.71 \text{ ft}^3 \]
Calculate water weight: \[ W = 15.71 \text{ ft}^3 \times 62.4 \text{ lb/ft}^3 = 980.3 \text{ lb} \]

Pipe Volume Calculator