[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-633432-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-633432-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","surface-area-of-a-cone-sheet-1-practice-questions-and-answers","Surface Area of a Cone - Sheet 1 - Practice Questions and Answers","","This educational resource provides a structured practice sheet for calculating the surface area of closed cones. The document includes a set of problems requiring students to use radius, diameter, and height measurements to find the surface area of various cones, with final results requested to one decimal place. A comprehensive answer key is provided, detailing the step-by-step mathematical working out for each problem, including the use of the formula πr(r + √(r² + h²)), ensuring learners can verify their methods and understand the application of geometric principles in calculating total cone surface area.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/surface-area-of-a-cone-sheet-1-practice-questions-and-answers/633432/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/surface-area-of-a-cone-sheet-1-practice-questions-and-answers/633432.png","ImageObject",300,407,{"name":42,"@type":43},"Margaret","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-24","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What formula is used to calculate the surface area of a closed cone?","Question",{"text":62,"@type":63},"The surface area is calculated using the formula πr(r + √(r² + h²)), where r is the radius and h is the height of the cone.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How should the final answers be formatted?",{"text":67,"@type":63},"All final surface area results should be rounded and given to 1 decimal place.",{"name":69,"@type":60,"acceptedAnswer":70},"How do you find the radius if only the diameter is provided in a problem?",{"text":71,"@type":63},"The radius is found by dividing the diameter by 2.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},633432,1792876030,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":26,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":95},137451207643,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","SURFACE AREA OF A CONE SHEET 1  \nUse the radius or diameter and height measurements to find the area of these closed cones. Give your answers to 1 decimal place.  \n\n| CONE |  | WORKING OUT | AREA |\n| --- | --- | --- | --- |\n| 1) | |  |  |\n|  | 3 cm |  |  |\n| 2) | |  |  |\n| 3) | \u003Cbr>4.2 m\u003Cbr>\u003Cbr>3.6 m\u003Cbr>|  |  |\n| 4) | 3 ¾ in |  |  |\n|  | |  |  |\n| 5)\u003Cbr>9 cm\u003Cbr>\u003Cbr>\u003Cbr>|  |  |  |\n\nSURFACE AREA OF A CONE SHEET 1 ANSWERS  \n\n| CONE |  | WORKING OUT | AREA |\n| --- | --- | --- | --- |\n| 1) | | Area of closed cone = πr(r + √ ( r2 + h2 ))\u003Cbr>= π(3)(3 + √(32 + 82 )) = 3π(3 + √(9 + 64))\u003Cbr>= 3π(3 + √73) = 3π(3 + 8 .544…)= 3π(11 .544…) = 34.632… π= 108.8 cm2 to 1 decimal place\u003Cbr>| 108.8 cm2 |\n|  | 3 cm |  |  |\n| 2) | | Area of closed cone = πr(r + √ (r2 + h2 ))\u003Cbr>= π(1½ )(1½ + √ (1½)2 + 32 ) = 1½ π(1½ + √2¼ + 9)\u003Cbr>= 1½ π (1½ + √11¼) = 1½ π (1½ + 3.354…)= 1½ π(4.854…) = 7.281… π\u003Cbr>= 22.9 ft2 to 1 decimal place\u003Cbr>| 22.9 ft2 |\n| 3) | \u003Cbr>4.2 m\u003Cbr>\u003Cbr>3.6 m\u003Cbr>| Diameter of cone = 3.6 m so radius = 3.6 ÷ 2 = 1.8 m. Area of closed cone = πr(r + √(r2 + h2 ))\u003Cbr>= π(1.8)(1.8 + √1.82 + 4.22 )\u003Cbr>= 1.8 π(1.8 + √ 3.24 + 17.64 )\u003Cbr>= 1.8 π (1.8 + √20.88) = 1.8 π (1.8 + 4.569…)= 1.8π(6.369…) = 11.465… π\u003Cbr>= 36.0 m2 to 1 decimal place\u003Cbr>| 36.0 m2 |\n| 4) | 3 ¾ in | Area of closed cone = πr(r + √ (r2 + h2 ))\u003Cbr>= π(3 ¾ )(3 ¾ + √(3 ¾)2 + (5 ½)2 )\u003Cbr>= 3 ¾ π (3 ¾ + √ 225∕16 + 121∕4 )\u003Cbr>= 3 ¾ π (3 ¾ + √709/16) = 3 ¾ π (3 ¾ + 6.656…)= 3 ¾ π(10.406…) = 39.025… π\u003Cbr>= 122.6 in2 to 1 decimal place | 122.6 in2 |\n|  | |  |  |\n| 5)\u003Cbr>9 cm\u003Cbr>\u003Cbr>\u003Cbr>|  | Diameter of cone = 9 cm so radius = 9 ÷ 2 = 4.5 cm. Area of closed cone = πr(r + √(r2 + h2 ))\u003Cbr>= π(4.5)(4.5 + √4.52 + 232 )\u003Cbr>= 4.5 π(4.5 + √20.25 + 529)\u003Cbr>= 4.5 π (4.5 + √549.25) = 4.5 π (4.5 + 23.436…)= 4.5 π (27.936…) = 125.712… π\u003Cbr>= 394.9 cm2 to 1 decimal place\u003Cbr>| 394.9 cm2 |","cbCaifC7MTtoBjfW","https://ap.wps.com/l/cbCaifC7MTtoBjfW","pdf",192177,"English","# Practice Sheet\n# Answer Key","[{\"question\":\"What formula is used to calculate the surface area of a closed cone?\",\"answer\":\"The surface area is calculated using the formula πr(r + √(r² + h²)), where r is the radius and h is the height of the cone.\"},{\"question\":\"How should the final answers be formatted?\",\"answer\":\"All final surface area results should be rounded and given to 1 decimal place.\"},{\"question\":\"How do you find the radius if only the diameter is provided in a problem?\",\"answer\":\"The radius is found by dividing the diameter by 2.\"}]","Surface Area of a Cone - Sheet 1 - Practice Questions and Answers | PDF",1792672138]