{"id":4413,"date":"2022-01-23T19:52:16","date_gmt":"2022-01-23T19:52:16","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4413"},"modified":"2022-01-23T19:52:16","modified_gmt":"2022-01-23T19:52:16","slug":"surface-area-of-cylinders","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/surface-area-of-cylinders\/","title":{"rendered":"Surface Area of Cylinders"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Surface Area of Cylinders<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The surface area of a cylinder can be defined as the total space covered by the flat surfaces of the bases of the cylinder and the curved surface. The total surface area of the cylinder has two components:<br \/>\n1. curved surface area<br \/>\n2. flat surface area (of the two flat faces)<\/p>\n<p>The surface area of a cylinder can be defined as the amount of space covered by a flat surface of the base of the cylinder and the curved surface of the cylinder. The surface area of the cylinder is actually the sum of an area of a circle since the base of the cylinder is a circle and the area of curved surface which is a rectangle of length height of the cylinder and circumference of the base as width. Surface area is expressed as the “number of” square units (square centimeters, square inches, square feet, etc.).<br \/>\n<a href=\"https:\/\/oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders\"><img loading=\"lazy\" class=\"alignnone\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638186035411.svg\" alt=\"\" width=\"328\" height=\"153\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Use the formula S.A. = 2\u03c0rh + 2\u03c0r<sup>2<\/sup> to find the the <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders\">surface area of a cylinder<\/a>.<br \/>\n2. Substitute the measurements given into the formula.<br \/>\n3. Use order of operations to solve.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Calculate the surface area of the cylinder shown below.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders\"><img loading=\"lazy\" class=\"alignnone wp-image-4417 size-full\" style=\"margin-top: 11px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/21-11.png\" alt=\"\" width=\"191\" height=\"200\" \/><\/a><br \/>\n<\/strong><\/span><\/p>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]1. The surface area of a cylinder is calculated by using the formula.<br \/>\nS.A. = 2\u03c0rh + 2\u03c0r<sup>2<\/sup><br \/>\n2. Substitute the measurements given into the formula.<br \/>\nS.A. = 2\u03c0(2)(7) + 2\u03c0(2)<sup>2<\/sup><br \/>\n3. Use order of operations to solve.<br \/>\nS.A. = 87.9645 + 25.13274<\/p>\n<p><strong><span style=\"color: red;\">S.A = 113 m<sup>2<\/sup>\u00a0<\/span><\/strong><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Surface Area of Cylinders[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the surface area of the cylinder. Round to the nearest whole unit. <\/strong><\/span><br \/>\nUse 3.14 for \u03c0.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders\"><img loading=\"lazy\" class=\"alignnone wp-image-4419 size-full\" style=\"margin-top: 11px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/22-14.png\" alt=\"\" width=\"219\" height=\"282\" \/><\/a><br \/>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Simon is covering a battery with plastic wrap. He needs to know how much plastic wrap he should cut to cover the whole battery. If the battery is a cylinder with a height of 1 centimeter and a radius of 5 centimeters, what is the area Simon needs to cover (round to the nearest centimeter)? <\/strong><\/span><br \/>\nUse 3.14 for \u03c0.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders\"><img loading=\"lazy\" class=\"alignnone wp-image-4421 size-full\" style=\"margin-top: 11px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/23-8.png\" alt=\"\" width=\"287\" height=\"35\" \/><\/a><br \/>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Verano is covering a candle with paper. He needs to know how much paper he should cut to cover the whole candle. If the candle is a cylinder with a height of 10 centimeters and a radius of 3 centimeters, what is the area Verano needs to cover (round to the nearest centimeter)?<\/strong><\/span><br \/>\nUse 3.14 for \u03c0.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders\"><img loading=\"lazy\" class=\"alignnone wp-image-4423 size-full\" style=\"margin-top: 11px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/24-5.png\" alt=\"\" width=\"242\" height=\"44\" \/><\/a><br \/>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Cylinder:<\/strong> A three-dimension figure with two parallel congruent circular bases connected by a curved surface.<\/p>\n<p><strong>Surface area:<\/strong> It is the sum of the areas of all the surfaces of a three-dimensional figure.<\/p>\n<p><strong>Lateral area:<\/strong> It is the surface area of the figure, excluding the area of the base(s) of a three-dimensional figure.<\/p>\n<p><strong>Net:<\/strong> A two-dimensional shape that can be modified to form a three-dimensional shape or a solid. A 3-D shape may have different nets.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635509776127{border-radius: 10px !important;}”]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/nets-of-3-dimensional-figures\"><span style=\"color: #ed5600;\">Nets of 3 Dimensional Figures<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-prisms\"><span style=\"color: #ed5600;\">Surface Area of Prisms<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/surface-area-of-rectangular-prisms\"><span style=\"color: #ed5600;\">Surface Area of Rectangular Prisms<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/measurement-perimeter\"><span style=\"color: #ed5600;\">Measurement – Perimeter<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/measurement-area\"><span style=\"color: #ed5600;\">Measurement – Area<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/circumference-and-area-of-circles\"><span style=\"color: #ed5600;\">Circumference and Area of Circles<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635499782218{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 10px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/volume-of-pyramids\">Volume of Pyramids<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/volume-of-prisms\">Volume of Prisms<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres\">Volume of Spheres<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-cylinders\">Volume of Cylinders<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-cones\">Volume of Cones<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/volume-of-rectangular-prisms\">Volume of Rectangular Prisms<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cylinders\">Surface Area of Cylinders<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/surface-area-of-cones\">Surface Area of Cones<\/a><\/span>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn 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el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Surface Area of Cylinders [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]The surface area of a cylinder can be defined as the total space covered by the flat surfaces of the bases of the cylinder […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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