[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-485461-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-485461-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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","volume-of-spheres-and-cones-solve-in-terms-of-pi","Volume of Spheres and Cones - Solve in terms of pi","","Worksheet practice on calculating volumes of spheres and cones using π. Students use sphere volume V = 4/3(π)(r^3) and cone volume V = 1/3(π)(r^2)(h), converting given measurements like diameter, radius, height, and circumference into radius where needed. The problems include real-world objects such as paper cones, bearings, tanks, pearls, soap bubbles, balloons, soccer balls, melons, tepees, and funnels, requiring volumes expressed in terms of π. An answer key provides π-based results for the set.",{"@graph":14,"@context":73},[15,34,56],{"@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/volume-of-spheres-and-cones-solve-in-terms-of-pi/485461/",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/volume-of-spheres-and-cones-solve-in-terms-of-pi/485461.png","ImageObject",300,407,{"name":42,"@type":43},"dhado","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What formulas are used to find the volume of a sphere and a cone in this worksheet?","Question",{"text":63,"@type":64},"The worksheet uses V = 4/3(π)(r^3) for spheres and V = 1/3(π)(r^2)(h) for cones.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you handle problems where a sphere’s diameter or radius is given?",{"text":68,"@type":64},"Convert the given diameter to radius by using r = d/2, then substitute r into the sphere volume formula to express the result in terms of π.",{"name":70,"@type":61,"acceptedAnswer":71},"How is a sphere’s volume found when the sphere’s circumference is given?",{"text":72,"@type":64},"Use the relationship circumference = 2πr to solve for r, then substitute that radius into V = 4/3(π)(r^3) to get the volume in terms of π.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},485461,1792854617,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"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":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"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":110,"preview_page_count":4},5909893218464,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Volume of Spheres and Cones (Word)  \nName:  \n\n| Solve each problem in terms of pi. Use V = 4/3(pi)(r^3) for spheres and V = |  |  |  |  | Answers |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1/3(pi)(r^2)(h) for cones.\u003Cbr>1) Amy rolled paper into a cone with a radius of 4 centimeters and a height of 6 centimeters. What is the volume of the cone, in cubic centimeters, in terms of pi?\u003Cbr>2) A metal ball bearing is a sphere with a diameter of 18 millimeters. What is the volume of the ball bearing, in cubic millimeters, in terms of pi?\u003Cbr>3) A water tank is a sphere with a diameter of 12 feet. What is the volume of the |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |  |  |  |  |\n| 4) | tank, in cubic feet, in terms of pi?\u003Cbr>A water tank is shaped like a sphere with a diameter of 6 feet. What is the volume of the tank, in cubic feet, in terms of pi? |  |  |  | 4.  \u003Cbr>5.   |  |  |  |  |  |  |  |\n| 5) | A pearl is a sphere with a circumference of 12π millimeters. What is the volume of the pearl, in cubic millimeters, in terms of pi? |  |  |  | 6.   |  |  |  |  |  |  |  |\n| 6) | A ball bearing is a sphere with a radius of 3 millimeters. What is the volume of the ball bearing, in cubic millimeters, in terms of pi? |  |  |  | 7.  \u003Cbr>8. |  |  |  |  |  |  |  |\n| 7) | A soap bubble forms a sphere with a radius of 3 centimeters. What is the volume of the bubble, in cubic centimeters, in terms of pi? |  |  |  | 9.   |  |  |  |  |  |  |  |\n| 8) | A water balloon is a sphere with a circumference of 18π inches. What is the volume of the water balloon, in cubic inches, in terms of pi? |  |  |  | 10.   |  |  |  |  |  |  |  |\n| 9) | A soccer ball is a sphere with a diameter of 6 inches. What is the volume of the soccer ball, in cubic inches, in terms of pi? |  |  |  | 11.  \u003Cbr>12. |  |  |  |  |  |  |  |\n| 10) | Carol bought a melon shaped like a sphere with a circumference of 12π inches. What is the volume of the melon, in cubic inches, in terms of pi? |  |  |  | 13.   |  |  |  |  |  |  |  |\n| 11) | A soap bubble forms a sphere with a diameter of 12 inches. What is the volume of the bubble, in cubic inches, in terms of pi? |  |  |  | 14.   |  |  |  |  |  |  |  |\n| 12) | A marble is a sphere with a diameter of 18 centimeters. What is the volume of the marble, in cubic centimeters, in terms of pi? |  |  |  | 15.   |  |  |  |  |  |  |  |\n| 13) | A melon is a sphere with a radius of 6 inches. What is the volume of the melon, |  |  |  |  |  |  |  |  |  |  |  |\n|  | in cubic inches, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 14) | A tepee is shaped like a cone with a radius of 4 feet and a height of 9 feet. What is the volume of the tepee, in cubic feet, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 15) | A funnel is shaped like a cone with a radius of 4 centimeters and a height of 9 centimeters. What is the volume of the funnel, in cubic centimeters, in terms of |  |  |  |  |  |  |  |  |  |  |  |\n|  | pi? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>5\u003Cbr>1-10\u003Cbr>11-15 | 93 | 87 | 80 |  | 73 | 67 | 60 | 53 | 47 | 40 | 33 |\n|  |  | 27 | 20 | 13 |  | 7 | 0 |  |  |  |  |  |\n\nVolume of Spheres and Cones (Word)  \nName: Answer Key  \n\n| Solve each problem in terms of pi. Use V = 4/3(pi)(r^3) for spheres and V = |  |  |  |  | Answers |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1/3(pi)(r^2)(h) for cones.\u003Cbr>1) Amy rolled paper into a cone with a radius of 4 centimeters and a height of 6 centimeters. What is the volume of the cone, in cubic centimeters, in terms of pi?\u003Cbr>2) A metal ball bearing is a sphere with a diameter of 18 millimeters. What is the volume of the ball bearing, in cubic millimeters, in terms of pi?\u003Cbr>3) A water tank is a sphere with a diameter of 12 feet. What is the volume of the tank, in cubic feet, in terms of pi?\u003Cbr>4) A water tank is shaped like","cbCaih6WfrTZAkq5","https://ap.wps.com/l/cbCaih6WfrTZAkq5","pdf",44674,"English","# Volume Formula Setup\n## Sphere Volume Using π\n## Cone Volume Using π\n# Practice Problems\n## Cones with Given Radius and Height\n## Spheres with Given Diameter/Radius\n## Spheres Given Circumference\n# Answer Key","[{\"question\":\"What formulas are used to find the volume of a sphere and a cone in this worksheet?\",\"answer\":\"The worksheet uses V = 4/3(π)(r^3) for spheres and V = 1/3(π)(r^2)(h) for cones.\"},{\"question\":\"How do you handle problems where a sphere’s diameter or radius is given?\",\"answer\":\"Convert the given diameter to radius by using r = d/2, then substitute r into the sphere volume formula to express the result in terms of π.\"},{\"question\":\"How is a sphere’s volume found when the sphere’s circumference is given?\",\"answer\":\"Use the relationship circumference = 2πr to solve for r, then substitute that radius into V = 4/3(π)(r^3) to get the volume in terms of π.\"}]","Volume of Spheres and Cones - Solve in terms of pi | PDF",1790804273]