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The material provides sectioned questions (Section A and Section B) with computed results such as volumes, curved surface areas, total surface areas, radii, surface area of spheres, and cone measurements including circumference of the base, height, and required angles. It also includes an extension problem involving the paint coverage needed to coat a trophy made from a square-based pyramid and a sphere.",{"@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-answers/297423/",{"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-answers/297423.png","ImageObject",300,407,{"name":92,"@type":93},"Caleb Sterling","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the document provide for Section A?","Question",{"text":112,"@type":113},"Section A supplies calculated answers for requested measurements involving volumes and surface areas of cones and spheres, including radii where required.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the cone-related measurements handled in Section B?",{"text":117,"@type":113},"Section B focuses on right circular cones, asking for values such as curved surface area, radius or related measurements, circumference of the base, height, and required angles; question 4 is used to determine measurements below it.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the extension problem about?",{"text":121,"@type":113},"The extension asks for the amount of paint, in centiliters, to paint a trophy made from a square-based pyramid and a sphere using a given paint coverage per square centimeter, applied over 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},297423,1790179003,{"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":44,"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},962084925290,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","| Volume and Surface Area of Cones and Spheres\u003Cbr>ANSWERS \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>2 cm |  | 2) | \u003Cbr>14 mm | 3) | | 4) | |  |\n| Volume =\u003Cbr>33.51 cm3\u003Cbr>Surface area =\u003Cbr>50.27 cm2\u003Cbr>5)\u003Cbr>\u003Cbr>Curved surface area =\u003Cbr>204.20 cm2\u003Cbr>Total surface area =\u003Cbr>282.74 cm2 |  |  | Volume =\u003Cbr>1436.76 mm3\u003Cbr>Surface area =\u003Cbr>615.75 mm2\u003Cbr>6)\u003Cbr>\u003Cbr>Volume =\u003Cbr>1231.50 cm3\u003Cbr>Total surface area =\u003Cbr>703.72 cm2 |  | Volume =\u003Cbr>180 cm3\u003Cbr>Radius =\u003Cbr>3.50 cm\u003Cbr>7)\u003Cbr>\u003Cbr>14.4 cm\u003Cbr>9.6 cm\u003Cbr>Volume =\u003Cbr>521.15 cm3\u003Cbr>Total surface area =\u003Cbr>434.29 cm2 |  | Surface area =\u003Cbr>25 mm2\u003Cbr>Radius =\u003Cbr>1.41 mm\u003Cbr>8)\u003Cbr>\u003Cbr>\u003Cbr>23 cm\u003Cbr>Volume =\u003Cbr>2077.64 cm3\u003Cbr>Total area =\u003Cbr>829.38 cm2 |  |  |\n\nVwuacalMaths Rzoommatehssoucrosus Geometry-Volume and Surface Area 8.G.C.9  \n\n| Volume and Surface Area of Cones and Spheres\u003Cbr>ANSWERS  |  |  |  |  |  |  |  |  |  | |\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>37.98 cm2\u003Cbr>Radius of cone =\u003Cbr>3.02 cm |  |  | Circumference of base of cone =\u003Cbr>22.51 cm\u003Cbr>Height of cone =\u003Cbr>9.34 cm | Total surface area of cone including base =\u003Cbr>17.75 cm2\u003Cbr>Volume of cone =\u003Cbr>4.07 cm3 |  |  |  | Circumference of base =\u003Cbr>25.13 cm\u003Cbr>Angle of θ required to make the cone =\u003Cbr>169.39° |  |  |\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> 32 cm \u003Cbr>10 cm |  |  |  |  |\n| 5.36 cl |  |  |  |  |  |  |  |  |  |  |\n\nVwuacalMaths Rzoommatehssoucrosus Geometry-Volume and Surface Area 8.G.C.9","cbCaivugLatzSjVB","https://ap.wps.com/l/cbCaivugLatzSjVB","pdf",469151,"English","# Section A\n## Volume and surface area calculations\n# Section B\n## Right circular cones measurements\n## Extension: paint for a trophy","[{\"question\":\"What does the document provide for Section A?\",\"answer\":\"Section A supplies calculated answers for requested measurements involving volumes and surface areas of cones and spheres, including radii where required.\"},{\"question\":\"How are the cone-related measurements handled in Section B?\",\"answer\":\"Section B focuses on right circular cones, asking for values such as curved surface area, radius or related measurements, circumference of the base, height, and required angles; question 4 is used to determine measurements below it.\"},{\"question\":\"What is the extension problem about?\",\"answer\":\"The extension asks for the amount of paint, in centiliters, to paint a trophy made from a square-based pyramid and a sphere using a given paint coverage per square centimeter, applied over two coats.\"}]","Volume and Surface Area of Cones and Spheres - Answers | PDF",1789744402]