{"id":665183,"date":"2023-07-20T10:44:08","date_gmt":"2023-07-20T05:14:08","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=665183"},"modified":"2024-04-03T18:20:20","modified_gmt":"2024-04-03T12:50:20","slug":"665183-2","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/topics\/cylinder","title":{"rendered":"Cylinder &#8211; Definition, Shape, Properties, Surface Area and Volume"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Definition_of_a_Cylinder\" title=\"Definition of a Cylinder\">Definition of a Cylinder<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Real-life_Examples_of_Cylinders\" title=\"Real-life Examples of Cylinders\">Real-life Examples of Cylinders<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Properties_of_Cylinders\" title=\"Properties of Cylinders\">Properties of Cylinders<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Types_of_Cylinder\" title=\"Types of Cylinder\">Types of Cylinder<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Right_Cylinder\" title=\"Right Cylinder\">Right Cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Oblique_Cylinder\" title=\"Oblique Cylinder\">Oblique Cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Right_Circular_Cylinder\" title=\"Right Circular Cylinder\">Right Circular Cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Elliptical_Cylinder\" title=\"Elliptical Cylinder\">Elliptical Cylinder<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Surface_Area_and_Volume\" title=\"Surface Area and Volume\">Surface Area and Volume<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Explanation_of_Surface_Area\" title=\"Explanation of Surface Area\">Explanation of Surface Area<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Explanation_of_Volume\" title=\"Explanation of Volume\">Explanation of Volume<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#Frequently_Asked_Questions_on_Cylinders\" title=\"Frequently Asked Questions on Cylinders\">Frequently Asked Questions on Cylinders<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#What_is_a_cylinder\" title=\"What is a cylinder?\">What is a cylinder?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#What_are_the_properties_of_a_cylinder\" title=\" What are the properties of a cylinder?\"> What are the properties of a cylinder?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#How_do_you_find_the_surface_area_of_a_cylinder\" title=\"How do you find the surface area of a cylinder?\">How do you find the surface area of a cylinder?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/cylinder\/#How_do_you_find_the_volume_of_a_cylinder\" title=\"How do you find the volume of a cylinder?\">How do you find the volume of a cylinder?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Definition_of_a_Cylinder\"><\/span>Definition of a Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A cylinder shape is a three-dimensional that looks like a tube or a can of soda. It has two flat circular bases that are parallel to each other. The bases are connected by a curved surface, which wraps around the sides of the cylinder.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-665184 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/shape-of-cylinders.png\" alt=\"shape of cylinders\" width=\"541\" height=\"283\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/shape-of-cylinders.png 541w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/07\/shape-of-cylinders-300x157.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/p>\n<p>The important thing about the curved surface is that it is always the same distance from the center of the cylinder.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Real-life_Examples_of_Cylinders\"><\/span>Real-life Examples of Cylinders<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Cylinders can be found in many things we see around us every day. One common example is a can of soda or a water bottle. These containers have a cylinder shape. Another example is an LPG gas cylinder used in our homes for cooking. If you look at the shape of a pencil, you&#8217;ll notice that it&#8217;s also cylindrical.<\/p>\n<p>Cylinders are used in many other things as well. Fire extinguishers, some types of batteries, and even some buildings have cylindrical shapes. So, the next time you see a can of soda or a water bottle, remember that you&#8217;re looking at a real-life example of a cylinder!<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Properties_of_Cylinders\"><\/span>Properties of Cylinders<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Each shape possesses unique properties that distinguish it from others, and cylinders are no exception. Let&#8217;s explore some of the key characteristics of cylinders:<\/p>\n<ol>\n<li><strong>Curved Surface and Identical Flat Faces: <\/strong>A cylinder has one curved surface that wraps around its sides, along with two flat faces that are identical and parallel to each other.<\/li>\n<li><strong>Congruent Circular Bases: <\/strong>The two circular bases of a cylinder are congruent to each other, meaning they have the same size and shape.<\/li>\n<li><strong>Size Determined by Radius and Height: <\/strong>The size of a cylinder is determined by the radius of its circular base and the height of its curved surface.<\/li>\n<li><strong>Absence of Vertex: <\/strong>Unlike shapes like cones, cubes, or cuboids, a cylinder does not have any vertex or specific corner point.<\/li>\n<li><strong>Identical Bases: <\/strong>The top and bottom of a cylinder are identical, meaning it has the same base shape throughout its entire structure. The base can be either circular or elliptical.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Cylinder\"><\/span>Types of Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"Right_Cylinder\"><\/span>Right Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>When the cylinder&#8217;s axis forms a right angle with the bases, with one base directly above the other, it is known as a &#8220;Right Cylinder.&#8221;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Oblique_Cylinder\"><\/span>Oblique Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>If the bases of a cylinder are not directly above each other but positioned sideways, and the axis does not form a right angle with the bases, it is referred to as an &#8220;Oblique Cylinder.&#8221;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Right_Circular_Cylinder\"><\/span>Right Circular Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A cylinder with circular bases is called a &#8220;Right Circular Cylinder.&#8221; This is the most common type of cylinder encountered in everyday life.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Elliptical_Cylinder\"><\/span>Elliptical Cylinder<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In some cases, the bases of a cylinder may take the shape of an ellipse. Such a cylinder is known as an &#8220;Elliptical Cylinder.&#8221;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Surface_Area_and_Volume\"><\/span>Surface Area and Volume<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Cylinders have two important properties that help us understand their shape and size: surface area and volume of the cylinder. These properties provide us with valuable information when working with cylinders in geometry and real-life applications.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Explanation_of_Surface_Area\"><\/span><strong>Explanation of Surface Area<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li><strong>Curved Surface Area<\/strong><\/li>\n<\/ol>\n<p>The curved surface area of a cylinder refers to the outer surface that wraps around its sides. Imagine peeling off the labels from a can of soda. The resulting cylinder shape would be the curved surface of the cylinder. To calculate the curved surface area, we need to find the height (h) of the cylinder and the radius (r) of the circular base. The formula for the curved surface area is:<br \/>\nCurved Surface Area = 2\u03c0rh<\/p>\n<p>Here, \u03c0 (pi) represents a mathematical constant approximately equal to 3.14159.<\/p>\n<ol start=\"2\">\n<li><strong>Area of Circular Bases<\/strong><\/li>\n<\/ol>\n<p>The cylinder has two circular bases\u2014one at the top and one at the bottom. To find the area of each circular base, we use the formula for the area of a circle:<\/p>\n<p>Area of a Circle = \u03c0r2<\/p>\n<p>The radius (r) of the circular base is crucial in calculating the base&#8217;s area. Since there are two circular bases, we multiply the area by 2 to account for both bases.<\/p>\n<ol start=\"3\">\n<li><strong>Total Surface Area Formula<\/strong><\/li>\n<\/ol>\n<p>To obtain the total surface area of a cylinder, we add the curved surface area to the sum of the areas of the two circular bases. The formula for the total surface area is:<\/p>\n<p>Total Surface Area = 2\u03c0rh + 2\u03c0r2<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Explanation_of_Volume\"><\/span>Explanation of Volume<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Volume measures the amount of space occupied by a cylinder. Think of it as the amount of water a container can hold. In the case of a cylinder, the volume tells us how much it can store. The formula for the volume of a cylinder is:<\/p>\n<p><strong>Volume = \u03c0r2h<\/strong><\/p>\n<p>The radius (r) and height (h) of the cylinder are essential in determining its volume. By multiplying the area of the circular base (\u03c0r2) by the height (h), we can find the volume of the cylinder.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_Cylinders\"><\/span>Frequently Asked Questions on Cylinders<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_a_cylinder\"><\/span>What is a cylinder?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA cylinder is a three-dimensional shape that consists of two parallel circular bases connected by a curved surface, with the same distance from the center throughout. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_are_the_properties_of_a_cylinder\"><\/span> What are the properties of a cylinder?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe properties of a cylinder include congruent and parallel bases, the possibility of being a right or oblique cylinder, uniform cross-section, and the option of having circular or elliptical bases. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_do_you_find_the_surface_area_of_a_cylinder\"><\/span>How do you find the surface area of a cylinder?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe surface area of a cylinder can be calculated by adding the curved surface area (2\u03c0rh) to the sum of the areas of the circular bases (2\u03c0r^2). \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_do_you_find_the_volume_of_a_cylinder\"><\/span>How do you find the volume of a cylinder?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe volume of a cylinder can be found by using the formula \u03c0r^2h, where r is the radius of the circular base and h is the height of the cylinder.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is a cylinder?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A cylinder is a three-dimensional shape that consists of two parallel circular bases connected by a curved surface, with the same distance from the center throughout.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \" What are the properties of a cylinder?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The properties of a cylinder include congruent and parallel bases, the possibility of being a right or oblique cylinder, uniform cross-section, and the option of having circular or elliptical bases.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How do you find the surface area of a cylinder?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The surface area of a cylinder can be calculated by adding the curved surface area (2\u03c0rh) to the sum of the areas of the circular bases (2\u03c0r^2).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How do you find the volume of a cylinder?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The volume of a cylinder can be found by using the formula \u03c0r^2h, where r is the radius of the circular base and h is the height of the cylinder.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Definition of a Cylinder A cylinder shape is a three-dimensional that looks like a tube or a can of soda. [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Cylinder","_yoast_wpseo_title":"Cylinder - Definition, Shape, Properties, Surface Area and Volume","_yoast_wpseo_metadesc":"A cylinder is a 3D shape with circular bases and a curved side, like a can or tube. It has a consistent diameter throughout.","custom_permalink":"topics\/cylinder"},"categories":[8594,8591],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Cylinder - Definition, Shape, Properties, Surface Area and Volume<\/title>\n<meta name=\"description\" content=\"A cylinder is a 3D shape with circular bases and a curved side, like a can or tube. 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