{"id":4293,"date":"2022-01-30T08:27:02","date_gmt":"2022-01-30T08:27:02","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4293"},"modified":"2022-01-30T08:27:02","modified_gmt":"2022-01-30T08:27:02","slug":"volume-of-spheres","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/volume-of-spheres\/","title":{"rendered":"Volume of Spheres"},"content":{"rendered":"[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.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;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243; css=&#8221;.vc_custom_1633761494145{border-radius: 1px !important;}&#8221;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text]\n<h5>Volume of Spheres<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]The volume of a sphere is the measurement of the space it can occupy. A sphere is a three-dimensional shape that has no edges or vertices.[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Rules[\/vc_column_text][vc_column_text]<strong>Volume of spheres:<\/strong><br \/>\nThe volume <strong>V<\/strong> of a sphere is four-thirds the product of \u03c0 and the cube of the radius <strong>r<\/strong>.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres\"><img loading=\"lazy\" class=\"alignnone wp-image-4296 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/5-14.png\" alt=\"\" width=\"139\" height=\"141\" \/><\/a><br \/>\n1. Use the formula <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&amp;space;V&amp;space;=&amp;space;\\frac{4}{3}\\pi&amp;space;r^{3}\" alt=\"\\fn_phv V = \\frac{4}{3}\\pi r^{3}\" align=\"absmiddle\" \/>\u00a0to find the volume of the sphere.<br \/>\n2. Substitute in the given value for <strong>r<\/strong>.<br \/>\n3. Solve using order of operations.<\/p>\n<p><strong>Volume of hemispheres:<\/strong><br \/>\nThe volume of a hemisphere is half the volume of a sphere.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres\"><img loading=\"lazy\" class=\"alignnone wp-image-4298 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/6-6.png\" alt=\"\" width=\"167\" height=\"135\" \/><\/a><br \/>\n1. First, find the volume of the sphere by using the volume formula: <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&amp;space;V&amp;space;=&amp;space;\\frac{4}{3}\\pi&amp;space;r^{3}\" alt=\"\\fn_phv V = \\frac{4}{3}\\pi r^{3}\" align=\"absmiddle\" \/><br \/>\n2. Substitute in the given values for <strong>r<\/strong> and solve.<br \/>\n3. Divide the answer by 2 to find the volume of the hemisphere.[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>Find the volume of the sphere. Round to the nearest tenth.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres\"><img loading=\"lazy\" class=\"alignnone wp-image-4300 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/7-5.png\" alt=\"\" width=\"187\" height=\"184\" \/><\/a><br \/>\n<\/strong><\/span>[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Solution[\/vc_column_text][vc_column_text]1. Use the formula <strong>V = <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&amp;space;\\frac{4}{3}\\pi&amp;space;r^{3}\" alt=\"\\fn_phv \\frac{4}{3}\\pi r^{3}\" align=\"absmiddle\" \/><\/strong>\u00a0to find the volume of the sphere.<\/p>\n<p>2. Substitute r = 6 mm in the given formula.<\/p>\n<p><strong>V<\/strong> = <img src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&amp;space;\\frac{4}{3}\\pi&amp;space;(6)^{3}\" alt=\"\\fn_phv \\frac{4}{3}\\pi (6)^{3}\" align=\"absmiddle\" \/><\/p>\n<p>3. Solve using order of operations.<br \/>\n<strong>V = <span style=\"color: red;\">904.8 mm<sup>3<\/sup><\/span><\/strong><br \/>\n[\/vc_column_text][vc_column_text el_class=&#8221;headingnew&#8221;]Practice Volume of Spheres[\/vc_column_text][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Choose the correct formula to find the volume of the given figure.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres\"><img loading=\"lazy\" class=\"alignnone wp-image-4303 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/8-5.png\" alt=\"\" width=\"297\" height=\"347\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/8-5.png 297w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/8-5-257x300.png 257w\" sizes=\"(max-width: 297px) 100vw, 297px\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the volume of the sphere. Round to the nearest tenth.<\/strong><\/span><br \/>\nUse 3.14 for \u03c0.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres\"><img loading=\"lazy\" class=\"alignnone wp-image-4306 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/9-5.png\" alt=\"\" width=\"187\" height=\"211\" \/><\/a><br \/>\n[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=&#8221;boxxborder&#8221;][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><span style=\"color: #16a085;\"><strong>Find the volume of the hemisphere. Round to the nearest tenth.<\/strong><\/span><br \/>\nUse 3.14 for \u03c0.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres\"><img loading=\"lazy\" class=\"alignnone wp-image-4308 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-5.png\" alt=\"\" width=\"205\" height=\"200\" \/><\/a>[\/vc_column_text][vc_single_image image=&#8221;2159&#8243; img_size=&#8221;full&#8221; alignment=&#8221;right&#8221; onclick=&#8221;custom_link&#8221; link=&#8221;https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-spheres&#8221;][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=&#8221;1\/3&#8243; css=&#8221;.vc_custom_1633369011398{margin-bottom: 50px !important;}&#8221;][vc_row_inner el_class=&#8221;stickynotee&#8221;][vc_column_inner][vc_single_image image=&#8221;2265&#8243; img_size=&#8221;full&#8221; alignment=&#8221;center&#8221; css_animation=&#8221;fadeIn&#8221; css=&#8221;.vc_custom_1633509989314{border-radius: 10px !important;}&#8221; el_class=&#8221;stickypin&#8221;][vc_column_text]<strong>Volume<\/strong>: It is the measure of the space occupied by a solid. Volume is measured in cubic units.<\/p>\n<p><strong>Sphere<\/strong>: A geometrical object in three-dimensional space that is like the surface of a ball. It has a set of all points in space that are a given distance (the radius) from a given point called the center.<\/p>\n<p><strong>Hemisphere<\/strong>: A sphere split in half forms two congruent shapes each called a hemisphere. The face formed by the slice is a circle[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;boxxborder2&#8243; css=&#8221;.vc_custom_1635414868092{border-radius: 10px !important;}&#8221;]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/volume-of-rectangular-prisms\"><span style=\"color: #ed5600;\">Volume of Rectangular Prisms<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/volume-of-prisms\"><span style=\"color: #ed5600;\">Volume of Prisms<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/volume-of-cylinders\"><span style=\"color: #ed5600;\">Volume of Cylinders<\/span><\/a>[\/vc_column_text][vc_column_text el_class=&#8221;boxxborder2&#8243; css=&#8221;.vc_custom_1635416619573{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;}&#8221;]<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\/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\/7th-grade\/surface-area-of-prisms\">Surface Area of Prisms<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/surface-area-of-pyramids\">Surface Area of Pyramids<\/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\/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><br \/>\n[\/vc_column_text][vc_row_inner equal_height=&#8221;yes&#8221; 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content_placement=&#8221;middle&#8221; css=&#8221;.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;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243; css=&#8221;.vc_custom_1633761494145{border-radius: 1px !important;}&#8221;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text] Volume of Spheres [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]The volume of a sphere is the measurement of the space it can occupy. A sphere is a three-dimensional shape that has no edges or [&hellip;]<\/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\/ -->\n<title>Volume of Spheres | Oryx Learning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/volume-of-spheres\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Volume of Spheres\" \/>\n<meta property=\"og:description\" content=\"[vc_section full_width=&#8221;stretch_row&#8221; content_placement=&#8221;middle&#8221; css=&#8221;.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;}&#8221; el_id=&#8221;bg-sec&#8221;][vc_row full_width=&#8221;stretch_row_content&#8221; el_class=&#8221;faaaq&#8221;][vc_column width=&#8221;1\/12&#8243;][\/vc_column][vc_column width=&#8221;1\/2&#8243; css=&#8221;.vc_custom_1633761494145{border-radius: 1px !important;}&#8221;][vc_row_inner content_placement=&#8221;middle&#8221; el_class=&#8221;topheadingg&#8221;][vc_column_inner width=&#8221;1\/6&#8243;][vc_single_image image=&#8221;2283&#8243; img_size=&#8221;full&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;5\/6&#8243;][vc_column_text] Volume of Spheres [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=&#8221;headingnew&#8221;]Concept[\/vc_column_text][vc_column_text]The volume of a sphere is the measurement of the space it can occupy. 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