Interference of Light and Superposition Principle: One of the most important characteristics of light waves is their ability, under certain conditions, to interfere with one...
Interference of Light and Superposition Principle
January 26, 202575 Years, Countless Dreams!
Celebrate Republic Day with learning that fuels your aspirations.
Grab discounts on all plans!
Interference of Light and Superposition Principle
January 26, 2025Correlation Coefficient: Definition, Interpretation
January 25, 2025Basic Terms Related to Angle: Definition, Parts, Types, Angle Pairs
January 24, 2025Earth’s Magnetism: Definition, Cause, Theory
January 22, 2025Magnesium Oxide Formula: Structure, Properties, Reactions
January 21, 2025Boiling Point of Water: Definition, Values and Factors Affecting Boiling Point.
January 19, 2025Proportion: Definition, Formulas, Examples
January 19, 2025Third Law of Thermodynamics: Introduction, Entropy, Calculations
January 16, 2025Economic Importance of Artificial Propagation: Definition, Advantages
January 14, 2025Zinc Chloride Formula – Definition, Structure, Properties and Uses
January 12, 2025Volume of Cylinder: A cylinder is a three-dimensional structure considered to be one of the most important geometrical shapes. The shape of the cylinder looks like tin or a can and has two parallel circular bases. The distance between the two circular bases is called the height of the cylinder. The circular base has a radius of r and the cylinder has a height of h. Students learn the concepts of surface areas and volume of cylinder at an early age in order to solve mathematical calculations.
Since the cylinder is three-dimensional, it has surface area and volume. Here, the volume is the space occupied by the cylinder. Students preparing for competitive exams must have thorough knowledge about the concept in order to fetch more marks in this particular topic. Also, check NCERT Solutions for Class 9 Maths Chapter 13 for better understanding of the surface areas and volumes of geometrical structures. We will provide detailed information on the volume of cylinder in this article. Read on to find out about its definition, formula, properties, and few solved examples.
A cylinder is a three-dimensional structure that is held by a curved surface at a fixed distance. The line segment joining the two centers of the circular bases is called the height of the cylinder. The cylinder has two bases that are circular in shape and are parallel to each other. Examples of cylinders are cans, tins, pipes, gas cylinders etc.
The volume of cylinder is described as the space occupied by the cylinder.
Check – Volume of Hemisphere
The properties of cylinders are as follows:
We can calculate the volume of cylinder by using the formula below:
Volume of Cylinder= πr2h cubic units |
Where r is the radius and h is the height of the cylinder
Check out the following solved examples on volume of cylinder:
Example 1: If the lateral surface of a cylinder is 94.2 cm2 and its height is 5 cm, then find (i) radius of its base (ii) its volume. (Use π = 3.14)
Solution: (i) Given, height (h) of cylinder = 5 cm
Let radius of cylinder be r.
CSA of cylinder = 94.2 cm2
Hence, 2πrh = 94.2 cm2 ⇒ (2 × 3.14 × r × 5) = 94.2 ⇒ r = 3 cm
Volume of cylinder = πr2h = (3.14 × (3)2 × 5) cm3 = 141.3 cm3
Example 2: Assume π = 22/ 7, unless stated otherwise. A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients?
Solution: Given, diameter of the cylindrical bowl = 7 cm Hence, radius of the cylindrical bowl = 7 2 = 3.5 cm
Height of the cylindrical bowl = 4cm
Volume of the cylindrical bowl = πr2h
= 22 7 × (3.5)2 × 4 = (11 × 3.5 × 4)cm3
= 154 cm3
The amount of soup the hospital has to prepare daily for 1 patient = 154 cm3
Hence, the amount of soup to be prepared for 250 patients = 154 × 250 = 38500 cm3
= 38.5 litres (1 cm3 = 0.001 litres)
The frequently asked questions on volume of cylinder are given below:
Q. What is a cylinder? A. A cylinder is a three-dimensional structure that has two circular bases separated by a distance. |
Q. What are the examples of cylinder? A. The examples of the cylinder are tins, cans, gas cylinder, etc. |
Q. What is the volume of cylinder? A. The volume of cylinder is the space occupied by the cylinder in a three-dimensional space. |
Q. What is the formula of volume of cylinder? A. The formula of volume of cylinder is as follows: Volume of the Cylinder, V = πr2h cubic units Where r is the radius and h is the height |
We hope this article on volume of cylinder was helpful. Understanding the volume and surface area of geometrical structures will help you in solving mathematical problems in a fraction of seconds.
We hope this article on volume of cylinder helps you. If you have any queries regarding this article, do let us know about it in the comment section below. We will get back to you at the earliest.
Interference of Light and Superposition Principle: One of the most important characteristics of light waves is their ability, under certain conditions, to interfere with one...
Correlation Coefficient: Correlation investigates the relationship, or association, between two variables by examining how the variables change about one another. Correlation analysis is a method...
Basic Terms Related to Angle: The most common word used in more than one chapter of Mathematics is 'angle'. We have been using it verbally, in...
Earth's Magnetism: Did you ever lose the sense of direction on any trekking? In such a situation, a magnetic compass will come to your rescue;...
Magnesium Oxide Formula: Magnesium oxide, also known as 'Magnesia,' is an ionic compound formed by the metal (Magnesium) and non-metal (Oxygen) by transfer of electrons...
Boiling Point of Water: We are familiar with the word boiling point. What does it mean? Well, here is the answer: The temperature at which...
Proportion: When two ratios are equal, we can say the ratios are in proportion. There are two types of proportion, direct proportion and inverse proportion....
Third Law of Thermodynamics: Translational, rotational, and vibrational molecular motions can occur among the atoms, molecules, or ions that make up a chemical system. The...
Economic Importance of Artificial Propagation: Have you ever thought about how you can grow different colours of fruits and vegetables with desirable characters? It is...
Zinc Chloride Formula: In chemical compounds, zinc almost exclusively has the oxidation state \( + 2\,\) Some \( + 1\) state zinc compounds have been...
Construction of index numbers: There are two ways to construct an index number. They are weighted and unweighted methods of construction. It can also be calculated...
Spearman's Rank Correlation Coefficient: While calculating the correlation coefficient or product-moment correlation coefficient, it is assumed that both characteristics are measurable. But, in reality, some...
Differentiation of Different Types of Functions: We use the concept of derivatives to express the rate of change in any function, such as identity, trigonometric,...
Differentiation of determinants: We know that the equations in two variables can be solved quickly. But if the number of variables is three or more,...
Methods of solving first order, first degree differential equation: Differential equations have several real life applications such as in computing the movement or flow of...
Geometric Mean and Useful Result: In mathematics and statistics, measures of central tendencies describe the summary of whole data set values. The most important measures...
Qualitative and Quantitative Analysis: We know that organic compounds are either hydrocarbons or their derivatives. Almost every organic substance contains carbon and hydrogen. Organic molecules...
Random variables and its probability distributions: A variable that is used to quantify the outcome of a random experiment is a random variable. Since there...
Integral as limit of sum: Integrals are applied in various fields like Mathematics, Engineering, and Science. They are used to calculate areas of irregular shapes...
Angle Between a Line and a Plane: The geometry which defines a position of a point in space by three numbers x, y and z is called...
Evolution: The scientist Theodosius Dobzhansky once said, “Nothing in biology makes sense, except in the light of Evolution” This statement is still as true today as...
Heredity and Accumulation of Variation During Reproduction: Evolution is one of the guiding principles that govern our world. Hence, it is one of the most important...
Introduction to index numbers: An index number is a statistical instrument for assessing changes in the magnitude of a group of connected variables. It represents...
Physical World: The "Physical World" refers to the world we see around us. It is the world that we perceive through our five senses. It...
Uses and classification of index numbers: An index is a statistical measure of change in a representative collection of individual data points used in Statistics,...
Achieve Your Best With 3D Learning, Book Practice, Tests & Doubt Resolutions at Embibe
Free Sign Up