{"id":106803,"date":"2022-02-12T14:16:40","date_gmt":"2022-02-12T08:46:40","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=106803"},"modified":"2022-04-25T15:16:52","modified_gmt":"2022-04-25T09:46:52","slug":"ncert-class-9-maths-solutions-chapter-13-surface-areas-and-volumes-ex-13-9","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/ncert\/class-9\/maths\/ncert-class-9-maths-solutions-chapter-13-surface-areas-and-volumes-ex-13-9\/","title":{"rendered":"NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9"},"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\/ncert\/class-9\/maths\/ncert-class-9-maths-solutions-chapter-13-surface-areas-and-volumes-ex-13-9\/#NCERT_Class_9_Maths_Solutions_Chapter_13_Surface_Areas_and_Volumes_Ex_139\" title=\"NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9\">NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9<\/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\/ncert\/class-9\/maths\/ncert-class-9-maths-solutions-chapter-13-surface-areas-and-volumes-ex-13-9\/#NCERT_Solutions_for_Class_9_Maths_Chapter_13_Surface_Areas_and_Volumes_Ex_139\" title=\"NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.9\">NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.9<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Class_9_Maths_Solutions_Chapter_13_Surface_Areas_and_Volumes_Ex_139\"><\/span>NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>NCERT Solutions for Class 9 Maths Chapter 13<\/strong>  \u2013 Surface Areas and Volumes Topics and Sub Topics<\/p>\n<ul>\n<li>Surface Areas And Volumes<\/li>\n<li>Introduction<\/li>\n<li>Surface Area of a Cuboid and a Cube<\/li>\n<li>Surface Area of a Right Circular Cylinder<\/li>\n<li>Surface Area of a Right Circular Cone<\/li>\n<li>Surface Area of a Sphere<\/li>\n<li>Volume of a Cuboid<\/li>\n<li>Volume of a Cylinder<\/li>\n<li>Volume of a Right Circular Cone<\/li>\n<li>Volume of a Sphere<\/li>\n<li>Summary<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_9_Maths_Chapter_13_Surface_Areas_and_Volumes_Ex_139\"><\/span>NCERT Solutions for Class 9 Maths Chapter 13 Surface Areas and Volumes Ex 13.9<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><span style=\"color: #eb4924\"><strong>Ex 13.9 Class 9 Maths Question 1.<\/strong><\/span><br \/>\n<strong>A wooden bookshelf has external dimensions as follows : Height = 110cm, Depth = 25cm, Breadth = 85cm (see figure). The thickness of the plank is 5 cm everywhere. The external faces are to be polished and the inner faces are to be painted. If the rate of polishing-is 20 paise per cm<sup>2<\/sup> and the rate of pointing is 10 paise per cm<sup>2<\/sup>, find the total expenses required for palishing and painting the surface of the bookshelf.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-103666\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Class-9-Maths-Solutions-Chapter-13-Surface-Areas-and-Volumes-Ex-13.9-A1.png\" alt=\"NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9 A1\" width=\"180\" height=\"177\" \/><br \/>\n<span style=\"color: #008000\"><strong>Solution:<\/strong><\/span><br \/>\nHere, l = 85 cm b = 25 cm and h = 110 cm<br \/>\nArea of the bookshelf of outer surface = 2 lb + 2bh + hl<br \/>\n= [2(85 x 25)+ 2(110 x 25)+ 85\u00d7110] cm2 = (4250 + 5500 + 9350) cm<sup>2<\/sup> = 19100 cm<sup>2<\/sup><br \/>\nCost of polishing of the outer surface of bookshelf<br \/>\n= 19100 x \\(\\frac { 20 }{ 100 }\\) = \u20b9 3820<br \/>\nThickness of the plank = 5 cm<br \/>\nInternal height of bookshelf = (110 \u2013 2 x 5) = 100 cm<br \/>\nInternal depth of bookshelf = (25 \u2013 5) = 20 cm<br \/>\nInternal breadth of bookshelf = 85 \u2013 2 x 5 = 75 cm<br \/>\nHence, area of the internal surface of bookshelf<br \/>\n= 2(75 x 20)+ 2(100x 20)+ 75\u00d7100<br \/>\n= 3000 + 4000 + 7500 = 14500 cm2<br \/>\nSo, cost of painting of internal surface of bookshelf<br \/>\n= 14500 x \\(\\frac { 10 }{ 100 }\\) = \u20b91450<br \/>\nHence, total costing of polishing and painting = 3820 + 1450= \u20b9 5270<\/p>\n<p><span style=\"color: #eb4924\"><strong>Ex 13.9 Class 9 Maths Question 2.<\/strong><\/span><br \/>\n<strong>The front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown in figure. Eight such spheres are-used for this purpose, and are to be painted silver. Each support is a cylinder of radius 1.5 cm and height 7 cm and is to be painted black. Find the cost of paint required if silver paint costs 25 paise per cm<sup>2<\/sup> and black paint costs 5 paise per cm<sup>2<\/sup>.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-103669\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Class-9-Maths-Solutions-Chapter-13-Surface-Areas-and-Volumes-Ex-13.9-A2.png\" alt=\"NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9 A2\" width=\"168\" height=\"115\" \/><br \/>\n<span style=\"color: #008000\"><strong>Solution:<\/strong><\/span><br \/>\nIt is obvious, we have to subtract the cost of the sphere that is resting on the supports while calculating the cost of silver paint.<br \/>\nSurface area to be silver paint<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-103667\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Class-9-Maths-Solutions-Chapter-13-Surface-Areas-and-Volumes-Ex-13.9-A2.1.png\" alt=\"NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9 A2.1\" width=\"520\" height=\"542\" \/><\/p>\n<p><span style=\"color: #eb4924\"><strong>Ex 13.9 Class 9 Maths Question 3.<\/strong><\/span><br \/>\n<strong>The diameter of a sphere is decreased by 25%. By what per cent does its curved surface area decrease?<\/strong><br \/>\n<span style=\"color: #008000\"><strong>Solution:<\/strong><\/span><br \/>\nLet d be the diameter of the sphere<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-103671\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Class-9-Maths-Solutions-Chapter-13-Surface-Areas-and-Volumes-Ex-13.9-A3.png\" alt=\"NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9 A3\" width=\"522\" height=\"215\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-103670\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Class-9-Maths-Solutions-Chapter-13-Surface-Areas-and-Volumes-Ex-13.9-A3.1.png\" alt=\"NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9 A3.1\" width=\"390\" height=\"169\" \/><\/p>\n<h3><\/h3>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9 NCERT Solutions for Class 9 Maths Chapter [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"\"Get NCERT Class 9 Maths Solutions Chapter 13 Surface Areas and Volumes Ex 13.9 on Infinity Learn.\"","custom_permalink":"ncert\/class-9\/maths\/ncert-class-9-maths-solutions-chapter-13-surface-areas-and-volumes-ex-13-9\/"},"categories":[13,54,19,63,71],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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