Cylinder Volume

Quantitative aptitude is one of the compulsory subjects that are to be studied for any competitive examination. It can be stated that four parts of mathematics are to be studied under this subject, which is arithmetic, algebra, geometry, and trigonometry. Cylinders are one of the most popular geometric shapes that are essential to be studied for competitive examinations. Often it can be seen that the volume of the cylinder is to be measured. Hence, it is essential to understand what the “volume of the cylinder” is, along with the formulas of the “volume of the cylinder”, and the probable problems. In this assignment, all of these topics are going to be discussed, with the hope that they are going to be helpful for the students for the competitive examinations. 

Definition of a cylinder

In the terms of mathematics, a Cylinder is referred to as an object with three dimensions, which is solid and that has two parallel bases that are joined by surfaces that are curved, and they are fixed at a definite distance. A cylinder usually has a circular base along with a centre. It can be stated that through a segment of the line, the centre of the bases is joined, and this line is called the axis of the cylinder. 

What is the volume of a cylinder?

It can be stated that any kind of object occupies some space within it. Hence, it can be stated that a cylinder also occupies some spaces within it, which can be referred to as “the volume of a cylinder”. Hence it can be stated that the number of occupied spaces in the solid which has three dimensions, that is the cylinder, can be called “the volume of the cylinder”. 

The volume of the cylinder is essential to measure to solve real-life problems like measuring the quantity of the material it can hold within it. It can be stated that there are different types of cylinders like right circular cylinders, oblique cylinders, elliptic cylinders, and right circular hollow cylinders. 

The formula of the volume of a cylinder

 The volume of a cylinder is measured in cubic units. It can be stated that it is essential to measure the density of the cylinder to identify the volume of a cylinder. 

The formula of the volume of the cylinder is – V = A * H

In the above formula, the volume is denoted as V, where the height of the cylinder is H, and the area of the cylinder is measured as A. 

How to calculate the “volume of a cylinder”

In order to find out the volume of a cylinder, it is essential to identify the radius and the height of the cylinder. It can be stated that it is also essential to measure the volume in cubic units as already stated, and the height and the radius must be of the same units. 

Hence, it can be stated that, V= 2πrh

• The radius must be denoted as “r”, and the height of the cylinder is denoted as “h”. 

Problems of volumes of cylinder

Problem 1: Identify the volume of a cylinder with a radius of 60 cm, and a height of 5 meters. The radius is 2.564. 

Problem 2: Measure the volume of a cylinder with a radius of 30cm, where the axis of the cylinder is 3 meters, and the considered radius is 3.534. 

Conclusion 

Hence, from the above discussion, it can be stated that although the students often feel afraid of studying geometry, and find it complicated to understand the geometric formulas, it can be stated that in this study, the volume of the cylinder is explained easily so that the students can easily understand it. Also, it can be seen that this measurement is essential for solving several real-time problems as well. It can be stated that it is essential to study the volume of a cylinder to compete in several examinations as well as to strengthen the capacity to solve quantitative aptitude problems.