{"id":631,"date":"2022-01-15T17:14:02","date_gmt":"2022-01-15T17:14:02","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=631"},"modified":"2022-01-15T17:14:02","modified_gmt":"2022-01-15T17:14:02","slug":"surface-area-of-a-cylinder","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/01\/15\/surface-area-of-a-cylinder\/","title":{"rendered":"Surface Area of a Cylinder"},"content":{"rendered":"\n<h5 class=\"wp-block-heading\">What is a cylinder?<\/h5>\n\n\n\n<p>There are different kinds of cylinders. On this page we will be discussing the most simple form where the cylinder looks like a tube or a soup can with two circles at each end that are the same size and parallel.<\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/volume_cylinder.gif\" alt=\"\" width=\"824\" height=\"419\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Terms of a Cylinder<\/h2>\n\n\n\n<p> In order to calculate the surface area and volume of a cylinder we first need to understand a few terms:<\/p>\n\n\n\n<p><strong>Radius &#8211;<\/strong> The radius is the distance from the center to the edge of the circles at each end.<\/p>\n\n\n\n<p> Pi &#8211; Pi is a special number used with circles. We will use an abbreviated version where Pi = 3.14. We also use the symbol \u03c0 to refer to the number pi in formulas.<\/p>\n\n\n\n<p> Height &#8211; The height or length of the cylinder.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Surface Area of a Cylinder <\/h2>\n\n\n\n<p>The surface area of a cylinder is the surface area of both circles at each end plus the surface area of the outside of the tube. There is a special formula used to figure this out. <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>Surface area = 2\u03c0r<sup>2<\/sup> + 2\u03c0rh <\/strong><\/p>\n\n\n\n<p>r = radius<\/p>\n\n\n\n<p> h = height <\/p>\n\n\n\n<p>\u03c0 = 3.14 <\/p>\n\n\n\n<p>This is the same as saying (2 x 3.14 x radius x radius) + (2 x 3.14 x radius x height)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"> Example:<\/h4>\n\n\n\n<p> What is the surface area of a cylinder with radius 3 cm and height 5 cm? <\/p>\n\n\n\n<p>Surface area = 2\u03c0r<sup>2<\/sup> + 2\u03c0rh <\/p>\n\n\n\n<p>= (2&#215;3.14x3x3) + (2&#215;3.14x3x5)<\/p>\n\n\n\n<p> = 56.52 + 94.2 <\/p>\n\n\n\n<p>= 150.72 cm2<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Volume of a Cylinder <\/h2>\n\n\n\n<p>There is special formula for finding the volume of a cylinder. The volume is how much space takes up the inside of a cylinder. The answer to a volume question is always in cubic units.<\/p>\n\n\n\n<p class=\"has-text-align-center\"> <strong>Volume = \u03c0r2h<\/strong><\/p>\n\n\n\n<p> This is the same as 3.14 x radius x radius x height<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"> Example: <\/h4>\n\n\n\n<p>Find the volume of a cylinder with radius 3 cm and height 5 cm? <\/p>\n\n\n\n<p>Volume = \u03c0r2h <\/p>\n\n\n\n<p>= 3.14 x 3 x 3 x 5 <\/p>\n\n\n\n<p>= 141.3 cm <sup>3<\/sup><\/p>\n\n\n\n<p><strong>Things to Remember <\/strong><\/p>\n\n\n\n<ul><li>Surface area of a cylinder = 2\u03c0r<sup>2<\/sup> + 2\u03c0rh <\/li><li>Volume of a cylinder = \u03c0r<sup>2<\/sup>h <\/li><li>You need to know the radius and height to figure both the volume and surface area of a cylinder.<\/li><li>Answers for volume problems should always be in cubic units. <\/li><li>Answers for surface area problems should always be in square units.<\/li><\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is a cylinder? There are different kinds of cylinders. On this page we will be discussing the most simple form where the cylinder looks like a tube or a soup can with two circles at each end that are the same size and parallel. Terms of a Cylinder In order to calculate the surface [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[789],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/631"}],"collection":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/comments?post=631"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/631\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=631"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=631"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}