Input Data :
Inner Radius r = 10 in
Height h = 8 ft
Find the volume of pipe?
Volume = πr2h
Volume = 3.1416 x 10 x 0.08333332 x 8
= 3.1416 x 0.694443888889 x 8
Volume = 17.4533 ft³
Pipe volume calculator uses inner radius length, outer radius length and height of a cylindrical pipe and calculates the material volume of the pipe and the volume of water or fluid that a pipe can hold. It is an online Geometry tool requires the inner, outer radii and height of a cylindrical pipe. Using this calculator, we will understand methods of how to find the volume of the pipe and the volume of water or fluid in a pipe.
It is necessary to follow the next steps:
A cylinder is a three-dimensional solid with congruent bases in a pair of parallel planes. These bases are congruent circles. The axis of the cylinder is the line segment with endpoints at centers of the bases.
The height or altitude of a cylinder, denoted by $h$, is the perpendicular distance between its circular bases.
In the following we will consider only the right cylinder, i.e. the cylinder in which the axis and height coincide. A pipe or tube is a hollow cylinder. A hollow cylinder is one which is empty from inside and its base has the inner and outer radius. A hollow cylinder has a base of a ring. Examples of hollow cylinders are: tubes, circular buildings, straws, etc.
The volume of pipe and the volume of water or fluid that a pipe can hold can be useful in many real-life situations. For example, if we want to know the water capacity of the home heating system, or if we want to buy the cylindrical pipe for refilling the swimming pool. So, this calculator is very important for private homeowners, engineers, construction workers, etc.
Practice Problem 1:
A copper pipe is $25$ meters long. Its outer and inner diameters are $15$ and $10$ centimeters, respectively. Find the volume of the copper needed to make the pipe.
Practice Problem 2:
The inner diameter of pipe has length of $32$ centimeters and its height is $105$ centimeters. How many liters of water can the pipe hold? ($1000 cm^3=1 l$).
The Pipe Volume calculator, formula, example calculation (work with steps) and practice problems would be very useful for grade school students (K-12 education) to understand the concept of volume of the pipe and cylinder. Real life problems on volume of the pipe and cylinder are very common, so this concept can be of great importance of solving problems.