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It includes a series of geometry problems requiring students to apply the formula V = 1/3 πr²h using provided radius and height measurements. The document is structured into two main sections: a student worksheet featuring five distinct cones and an answer key that demonstrates the step-by-step working-out process for each problem, including cases where cones are oriented horizontally. All final volume results are rounded to one decimal place to ensure precision. This material is ideal for middle-school or high-school mathematics students seeking to reinforce their understanding of three-dimensional geometric volume calculations and unit conversions. The inclusion of worked examples serves as a self-assessment tool for verifying accuracy in geometric modeling and algebraic manipulation tasks.",{"@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-of-a-cone-sheet-1-practice-exercises-and-solutions/638479/",{"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-of-a-cone-sheet-1-practice-exercises-and-solutions/638479.png","ImageObject",300,407,{"name":92,"@type":93},"moss~","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the standard formula for calculating the volume of a cone?","Question",{"text":112,"@type":113},"The volume of a cone is calculated using the formula V = 1/3 πr²h, where 'r' is the radius of the circular base and 'h' is the perpendicular height of the cone.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How should the answers be formatted according to the sheet?",{"text":117,"@type":113},"All final volume calculations should be rounded to one decimal place and include the appropriate cubic unit of measurement.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you determine the radius and height if a cone is lying on its side?",{"text":121,"@type":113},"When a cone is presented horizontally, the circular face indicates the radius, while the distance from the center of the base to the apex serves as the height.","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},638479,1793126346,{"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":19,"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},962090895452,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","VOLUME OF A CONE SHEET 1  \nUse the radius and height measurements to find the volume of these cones. Give your answers to 1 decimal place.  \n\n| CONE |  | WORKING OUT | VOLUME |\n| --- | --- | --- | --- |\n| 1) | |  |  |\n|  | 3 cm |  |  |\n| 2) | |  |  |\n| 3) | \u003Cbr>\u003Cbr>\u003Cbr>4.2 m |  |  |\n|  | \u003Cbr>6 m |  |  |\n| 4) | \u003Cbr>4 ¾ in\u003Cbr>\u003Cbr>|  |  |\n| 5) 5 cm \u003Cbr>\u003Cbr>|  |  |  |\n\nVOLUME OF A CONE SHEET 1 ANSWERS  \n\n| CONE |  | WORKING OUT | VOLUME |\n| --- | --- | --- | --- |\n| 1) | | Volume of a cone = 1∕3 π r2 h\u003Cbr>= 1∕3 π ∙ 32 ∙ 8 = 1∕3 π ∙ 9 ∙ 8 = 1∕3 π ∙ 72 = 24π\u003Cbr>= 75.4 cm3 to 1 decimal place | 75.4 cm3 to 1 decimal place |\n|  | 3 cm |  |  |\n| 2) | | Volume of a cone = 1∕3 π r2 h = 1∕3 π ∙ (1 ½ )2 ∙ 3 = 1∕3 π ∙ 9∕4 ∙ 3 = 9∕4 π\u003Cbr>= 7.1 ft3 to 1 decimal place | 7.1 ft3 to 1 decimal place |\n| 3) | \u003Cbr>\u003Cbr>\u003Cbr>4.2 m | This cone is lying on its side, so the radius is 4.2 m and the height is 6 m.\u003Cbr>Volume of a cone = 1∕3 π r2 h\u003Cbr>= 1∕3 π ∙ (4 . 2 )2 ∙ 6 = 1∕3 π ∙ (17.64) ∙ 6 = 35.28 π\u003Cbr>= 110.8 m3 to 1 decimal place | 110.8 m3 to 1 decimal place |\n|  | \u003Cbr>6 m |  |  |\n| 4) | \u003Cbr>4 ¾ in\u003Cbr>\u003Cbr>| Volume of a cone = 1∕3 π r2 h\u003Cbr>= 1∕3 π ∙ (4 ¾ )2 ∙ 8 ½ = 1∕3 π ∙ 361∕16 ∙ 17∕2 = 6137∕96 π\u003Cbr>= 200.8 in3 to 1 decimal place | 200.8 in3 to 1 decimal place |\n| 5) 5 cm \u003Cbr>\u003Cbr>|  | This cone is lying on its side, so the radius is 5 cm and the height is 18 cm.\u003Cbr>Volume of a cone = 1∕3 π r2 h = 1∕3 π ∙ (5 )2 ∙ 18 = 1∕3 π ∙ 25 ∙ 18\u003Cbr>= 150π\u003Cbr>= 471.2 cm3 to 1 decimal place | 471.2 cm3 to 1 decimal place |","cbCaikxGWO2GzD54","https://ap.wps.com/l/cbCaikxGWO2GzD54","pdf",184424,"English","# Student Worksheet\n## Practice Problems\n# Answer Key\n## Step-by-Step Solutions","[{\"question\":\"What is the standard formula for calculating the volume of a cone?\",\"answer\":\"The volume of a cone is calculated using the formula V = 1/3 πr²h, where 'r' is the radius of the circular base and 'h' is the perpendicular height of the cone.\"},{\"question\":\"How should the answers be formatted according to the sheet?\",\"answer\":\"All final volume calculations should be rounded to one decimal place and include the appropriate cubic unit of measurement.\"},{\"question\":\"How do you determine the radius and height if a cone is lying on its side?\",\"answer\":\"When a cone is presented horizontally, the circular face indicates the radius, while the distance from the center of the base to the apex serves as the height.\"}]","Volume of a Cone - Sheet 1 - Practice Exercises and Solutions | PDF",1792683016]