[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-297243-105":59,"doc-detail-297243-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","volume-and-surface-area-of-cones-and-spheres-geometry-worksheet-8gc9","Volume and Surface Area of Cones and Spheres - Geometry Worksheet - 8.G.C.9","","Geometry worksheet focused on calculating volume, surface area, curved surface area, total surface area, radius, and other cone-and-sphere measurements. Section A provides multiple prompts where measurements must be found to required precision. Section B converts sector information into right circular cones, requiring students to determine circumference, height, radius, cone angle, curved and total surface areas, and volume. An extension problem estimates paint needed for a square-based pyramid-and-sphere trophy using coverage per area.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/volume-and-surface-area-of-cones-and-spheres-geometry-worksheet-8gc9/297243/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/volume-and-surface-area-of-cones-and-spheres-geometry-worksheet-8gc9/297243.png","ImageObject",300,407,{"name":92,"@type":93},"Anna Hans","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":52},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What types of measurements are calculated in Section A?","Question",{"text":112,"@type":113},"Students calculate volume, surface area, curved surface area, total surface area, and radii of cones and spheres, as specified by each question.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does Section B change the problem setup?",{"text":117,"@type":113},"Section B starts from sectors formed into right circular cones and asks for requested measurements, including cone radius, height, base circumference, curved surface area, total surface area (including the base), and volume.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the goal of the extension question?",{"text":121,"@type":113},"The extension asks for the number of centiliters of paint required to paint a trophy constructed from a square-based pyramid and a sphere, using a given paint coverage rate and accounting for two coats.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},297243,1790186879,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24},5909892332657,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","| Volume and Surface Area of Cones and Spheres\u003Cbr>\u003Cbr>NOT TO\u003Cbr>Leave answers to 2 decimal places where necessary. SCALE |  |  |  |  | |\n| --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Section A | Calculate the volume, surface area or radius of the cones and spheres as required. |  |  |  |  |\n| 1)\u003Cbr>\u003Cbr>2 cm\u003Cbr>Volume =\u003Cbr>\u003Cbr>Surface area =\u003Cbr>\u003Cbr>5)\u003Cbr>\u003Cbr>Curved surface area =\u003Cbr>\u003Cbr>Total surface area =\u003Cbr>|  | 2) 3) |  | 4)\u003Cbr>\u003Cbr>Surface area =\u003Cbr>25 mm2\u003Cbr>Radius =\u003Cbr>\u003Cbr>8)\u003Cbr>\u003Cbr>\u003Cbr>23 cm\u003Cbr>Volume =\u003Cbr>\u003Cbr>Total area =\u003Cbr>|  |\n|  |  | \u003Cbr>14 mm | |  |  |\n|  |  | Volume = Volume =\u003Cbr>\u003Cbr>Surface area = Radius = |  |  |  |\n|  |  | | |  |  |\n|  |  | 6) 7)\u003Cbr>\u003Cbr>Volume = Volume = |  |  |  |\n|  |  | | |  |  |\n|  |  | Total surface area = Total surface area = |  |  |  |\n|  |  | | |  |  |\n\n©Visual Maths Resources  \n[www.cazoommaths.com/us](www.cazoommaths.com/us)  \nGeometry-Volume and Surface Area  \n8.G.C.9  \n\n| Volume and Surface Area of Cones and Spheres\u003Cbr>|  |  |  |  |  |  |  |  |  | |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Section B |  | The following sectors are made into right circular cones. Find the measurements requested.\u003Cbr>For question 4, use the cone to work out the measurements below it. |  |  |  |  |  |  |  |  |\n| 1) | \u003Cbr>4 cm\u003Cbr>272° |  | 2) 3)\u003Cbr>|  | \u003Cbr>base\u003Cbr>6.5 |  | 4)\u003Cbr>cm\u003Cbr>317° |  | \u003Cbr>8.5 cm 7.5 cm\u003Cbr>\u003Cbr>|  |\n| Curved surface area of cone =\u003Cbr>\u003Cbr>Radius of cone =\u003Cbr>|  |  | Circumference of base of cone =\u003Cbr>\u003Cbr>Height of cone =\u003Cbr>| Total surface area of cone including base =\u003Cbr>\u003Cbr>Volume of cone =\u003Cbr>|  |  |  | Circumference of base =\u003Cbr>\u003Cbr>Angle of θ required to make the cone =\u003Cbr>|  |  |\n| \u003Cbr>Extension\u003Cbr>The diagram shows a large trophy constructed from a square-based pyramid and a sphere. The trophy is to be painted gold. Given that one centiliter of paint covers 360 squared centimeters, work out how many centiliters of paint are required to paint the trophy with two coats.\u003Cbr>|  |  |  |  |  | \u003Cbr> 32 cm \u003Cbr>10 cm |  |  |  |  |\n\nVwuacalMaths Rzoommatehssoucrosus Geometry-Volume and Surface Area 8.G.C.9","cbCaicSwW3WXthk3","https://ap.wps.com/l/cbCaicSwW3WXthk3","pdf",608948,"English","# Section A\n## Volume, surface area, radius, curved surface area, total surface area\n# Section B\n## Right circular cones from sectors: curved area, radius, circumference, height, total area, volume\n# Extension\n## Paint coverage for a pyramid-and-sphere trophy","[{\"question\":\"What types of measurements are calculated in Section A?\",\"answer\":\"Students calculate volume, surface area, curved surface area, total surface area, and radii of cones and spheres, as specified by each question.\"},{\"question\":\"How does Section B change the problem setup?\",\"answer\":\"Section B starts from sectors formed into right circular cones and asks for requested measurements, including cone radius, height, base circumference, curved surface area, total surface area (including the base), and volume.\"},{\"question\":\"What is the goal of the extension question?\",\"answer\":\"The extension asks for the number of centiliters of paint required to paint a trophy constructed from a square-based pyramid and a sphere, using a given paint coverage rate and accounting for two coats.\"}]","Volume and Surface Area of Cones and Spheres - Geometry Worksheet - 8.G.C.9 | PDF",1789743349]