{"id":633,"date":"2022-01-15T17:24:19","date_gmt":"2022-01-15T17:24:19","guid":{"rendered":"https:\/\/mdr.foobrdigital.com\/?p=633"},"modified":"2022-01-15T17:24:19","modified_gmt":"2022-01-15T17:24:19","slug":"surface-area-of-a-cone","status":"publish","type":"post","link":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/2022\/01\/15\/surface-area-of-a-cone\/","title":{"rendered":"Surface Area of a Cone"},"content":{"rendered":"\n<h6 class=\"wp-block-heading\">What is a cone? <\/h6>\n\n\n\n<p>A cone is a type of geometric shape. There are different kinds of cones. They all have a flat surface on one side that tapers to a point on the other side. <\/p>\n\n\n\n<p>We will be discussing a right circular cone on this page. This is a cone with a circle for a flat surface that tapers to a point that is 90 degrees from the center of the circle. <\/p>\n\n\n\n<figure class=\"wp-block-image is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.ducksters.com\/kidsmath\/volume_cone.gif\" alt=\"\" width=\"876\" height=\"446\"\/><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h5 class=\"wp-block-heading\">Terms of a Cone<\/h5>\n\n\n\n<p> In order to calculate the surface area and volume of a cone we first need to understand a few terms:<\/p>\n\n\n\n<p> Radius &#8211; The radius is the distance from the center to the edge of the circle at the end. <\/p>\n\n\n\n<p>Height &#8211; The height is the distance from the center of the circle to the tip of the cone. <\/p>\n\n\n\n<p>Slant &#8211; The slant is the length from the edge of the circle to the tip of the cone.<\/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<h2 class=\"wp-block-heading\">Surface Area of a Cone <\/h2>\n\n\n\n<p>The surface area of a cone is the surface area of the outside of the cone plus the surface area of the circle at the end. There is a special formula used to figure this out. <\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>Surface area = \u03c0rs + \u03c0r<sup>2<\/sup> <\/strong><\/p>\n\n\n\n<p>r = radius <\/p>\n\n\n\n<p>s = slant <\/p>\n\n\n\n<p>\u03c0 = 3.14 <\/p>\n\n\n\n<p>This is the same as saying (3.14 x radius x slant) + (3.14 x radius x radius)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Example: <\/h4>\n\n\n\n<h6 class=\"wp-block-heading\">What is the surface area of a cone with radius 4 cm and slant 8 cm? <\/h6>\n\n\n\n<p>Surface area = \u03c0rs + \u03c0r<sup>2<\/sup> <\/p>\n\n\n\n<p>= (3.14x4x8) + (3.14x4x4) <\/p>\n\n\n\n<p>= 100.48 + 50.24 <\/p>\n\n\n\n<p>= 150.72 cm2 <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Volume of a Cone <\/h2>\n\n\n\n<p>There is special formula for finding the volume of a cone. The volume is how much space takes up the inside of a cone. The answer to a volume question is always in cubic units.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong> Volume = 1\/3\u03c0r<sup>2<\/sup>h <\/strong><\/p>\n\n\n\n<p>This is the same as 3.14 x radius x radius x height \u00f7 3<\/p>\n\n\n\n<h4 class=\"wp-block-heading\"> Example:<\/h4>\n\n\n\n<h6 class=\"wp-block-heading\"> Find the volume of a cone with radius 4 cm and height 7 cm?<\/h6>\n\n\n\n<p> Volume = 1\/3\u03c0r2h <\/p>\n\n\n\n<p>= 3.14 x 4 x 4 x 7 \u00f7 3 <\/p>\n\n\n\n<p>= 117.23 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 cone = \u03c0rs + \u03c0r<sup>2<\/sup> <\/li><li>Volume of a cone = 1\/3\u03c0r<sup>2<\/sup>h<\/li><li>The slant of a right circle cone can be figured out using the Pythagorean Theorem if you have the height and the radius.<\/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","protected":false},"excerpt":{"rendered":"<p>What is a cone? A cone is a type of geometric shape. There are different kinds of cones. They all have a flat surface on one side that tapers to a point on the other side. We will be discussing a right circular cone on this page. This is a cone with a circle for [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[790],"tags":[],"_links":{"self":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/633"}],"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=633"}],"version-history":[{"count":0,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/posts\/633\/revisions"}],"wp:attachment":[{"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/media?parent=633"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/categories?post=633"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mudassirbackup.infinitycodestudio.com\/index.php\/wp-json\/wp\/v2\/tags?post=633"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}