The volume of a cylinder means the space inside the cylinder that can hold a specific amount of material quantity. In short, it is the capacity of the cylinder to hold solid, liquid, or gas as it relates to volume. In order to understand the Capacity of Cylinder, it must be in a three-dimensional shape. It is not possible to measure the volume of two-dimensional cylinder.
Cylinder’s volume is given by the formula, ?r^{2}h, where r is the radius of the circular base and h is the height of the cylinder.
A cylinder is a three-dimensional shape that consists of two parallel bases linked by a curved surface. The line that passes from the center or joining the centers of two circular bases is referred to as the axis of the cylinder
The volume of a cylinder is typically measured in what are called cubic units. These cubic units are generally displayed as follows: cubic centimeters (cm^{3}), cubic meters (m^{3}), cubic feet (ft^{3}).
The base of a right circular cylinder is a circle, which means the the area of the circle of radius ‘r’ is ?r^{2}. Thus, the volume (V) of a right circular cylinder, using the above formula, is,
V = ?r^{2}h
Based on the above formula,
Therefore, the volume of cylinder varies based on it height and directly varies with the square of its radius.
In order to calculate the volume of an Oblique Cylinder, you will utilize the same formula as that of a right cylinder. The Volume (V) of an oblique cylinder whose base radius is ‘r’ and whose height is ‘h’ is as follows: V = ?r^{2}h
It is important to note that an ellipse has two radii. If we know that the area of an ellipse whose radii are ‘a’ and ‘b’ is ?ab. The volume of an elliptic cylinder is: V = ?abh
To break this down further,
A right circular cylinder is a shape that has two right circular cylinders – one inside the other. In order to obtain the volume, you must subtract the volume inside cylinder from the volume of the outside cylinder. Therefore, the volume (V) formula for a Right Circular Hollow Cylinder is as follows: ,
V = ?(R^{2} – r^{2})h
Here,
The below steps will provide you with process of finding the volume of a cylinder.
Step 1: Identify the type of cylinder given to you in the question or in real life. Is the cylinder a right cylinder, an oblique cylinder, Right Circular Hollow Cylinder, or an elliptic cylinder?
Step 2: Once you have decided on the type of cylinder, you will need to figure out the formula that is best used for the associated Cylinder.
Step 3: Make sure you verify that you have all dimensions needed, and they are utilizing the same unit of measurement.
Step 4: Simply match the units with their appropriate variable in the formula, and solve the formula.
Below you will find a simple example for a Right Cylinder utilizing Area and Height.