[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-633433-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-633433-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-2","Surface Area of a Cone - Sheet 2","","This educational resource provides a comprehensive practice sheet focused on calculating the surface area of both open and closed cones. The document includes a set of problems requiring students to utilize radius or diameter and height measurements, followed by detailed step-by-step solutions for each problem. It serves as an effective learning assessment tool for students studying geometry, specifically covering formulas for lateral and total surface area, while providing clear examples with units in cm, in, and m.",{"@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-2/633433/",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-2/633433.png","ImageObject",300,407,{"name":42,"@type":43},"Margaret","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you calculate the surface area of a closed cone?","Question",{"text":62,"@type":63},"The surface area of a closed cone is calculated using the formula πr(r + √(r² + h²)), where r is the radius and h is the height.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What is the formula used for an open cone's surface area?",{"text":67,"@type":63},"The surface area of an open cone is calculated using the formula πr√(r² + h²), which represents the lateral surface area of the cone.",{"name":69,"@type":60,"acceptedAnswer":70},"How is the radius determined if only the diameter of the cone is provided?",{"text":71,"@type":63},"The radius is obtained by dividing the given diameter of the circle 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},633433,1792898000,{"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":33,"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 2  \nUse the radius or diameter and height measurements to find the area of these open and closed cones. Give your answers to 2 decimal places.  \n\n| CONE |  |  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- | --- | --- |\n| 1) |  | CLOSED CONE\u003Cbr>\u003Cbr>|  |  |  |\n| 2) | OPEN CONE |  |  |  |  |\n|  | \u003Cbr>3 in \u003Cbr>|  |  |  |  |\n|  | \u003Cbr>7 ½ in |  |  |  |  |\n| 3) | CLOSED CONE\u003Cbr>\u003Cbr>|  |  |  |  |\n| 4) 15 cm |  |  | OPEN CONE 16 cm\u003Cbr>|  |  |\n\nSURFACE AREA OF A CONE SHEET 2 ANSWERS  \n\n| CONE |  |  |  | WORKING OUT | AREA |\n| --- | --- | --- | --- | --- | --- |\n| 1) |  | CLOSED CONE\u003Cbr>\u003Cbr>|  | Diameter of circle = 12 cm. Radius of circle = 12 ÷ 2 = 6 cm\u003Cbr>Area of closed cone = πr(r + √ (r2 + h2 ))\u003Cbr>= π(6)(6 + √62 + 122 ) = 6π (6 + √36 + 100 )\u003Cbr>= 6π (6 + √136) = 6π(6 + 11.662…)= 6π(17 .662…) = 105.971… π= 332.92 cm2 to 1 decimal place\u003Cbr>| 332.92 cm2 |\n| 2) | OPEN CONE |  |  | Area of open cone = πr √(r2 + h2 )= π(3) √32 + 7 ½2 = 3π √9 + 56 ¼= 3π √65 ¼ = 3π(8.0777…)= 24.233… π\u003Cbr>= 76.13 in2 to 2 decimal places | 76.13 in2 |\n|  | \u003Cbr>3 in \u003Cbr>|  |  |  |  |\n|  | \u003Cbr>7 ½ in |  |  |  |  |\n| 3) | CLOSED CONE\u003Cbr>\u003Cbr>|  |  | Diameter of circle = 1.4 m.\u003Cbr>Radius of circle = 1.4 ÷ 2 = 0.7 m Area of closed cone = πr(r + √(r2 + h2 ))\u003Cbr>= π(0.7)(0.7 + √0.72 + 1.82 )\u003Cbr>= 0.7π (0.7 + √0.49 + 3.24 )\u003Cbr>= 0.7π (0.7 + √3.73) = 0.7π(2.631…)= 1.8419… π\u003Cbr>= 5.79 m2 to 1 decimal place | 5.79 m2 |\n| 4) 15 cm |  |  | OPEN CONE 16 cm\u003Cbr>| Diameter of circle = 16 cm. Radius of circle = 16 ÷ 2 = 8 cm\u003Cbr>Area of open cone = πr √(r2 + h2 )= π(8) √82 + 152 = 8π √64 + 225 = 8π √289 = 8π(17)\u003Cbr>= 136 π\u003Cbr>= 427.26 cm2 to 2 decimal places | 427.26 cm2 |","cbCaijDCeBMRvNNV","https://ap.wps.com/l/cbCaijDCeBMRvNNV","pdf",189142,"English","# Cone Surface Area Practice Problems\n## Step-by-Step Solutions","[{\"question\":\"How do you calculate the surface area of a closed cone?\",\"answer\":\"The surface area of a closed cone is calculated using the formula πr(r + √(r² + h²)), where r is the radius and h is the height.\"},{\"question\":\"What is the formula used for an open cone's surface area?\",\"answer\":\"The surface area of an open cone is calculated using the formula πr√(r² + h²), which represents the lateral surface area of the cone.\"},{\"question\":\"How is the radius determined if only the diameter of the cone is provided?\",\"answer\":\"The radius is obtained by dividing the given diameter of the circle by 2.\"}]","Surface Area of a Cone - Sheet 2 | PDF",1792672139]