[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-485459-105":59,"doc-detail-485459-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","volume-of-spheres-and-cones-solve-each-problem-in-terms-of-pi","Volume of Spheres and Cones - solve each problem in terms of pi","","Practice set on finding volumes of spheres and cones expressed in terms of pi. Uses the sphere formula V=4/3·π·r^3 and the cone formula V=1/3·π·r^2·h. Problems model real objects (soccer ball, melon, rubber ball, cannonball, waffle cone, ball bearing, orange, marble, gumball, gravel pile, bubble, basketball, dough sphere) and require converting given diameters, radii, circumferences, and cone dimensions into volumes in the requested cubic units. Includes an answer key with solutions in multiples of pi.",{"@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-spheres-and-cones-solve-each-problem-in-terms-of-pi/485459/",{"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-spheres-and-cones-solve-each-problem-in-terms-of-pi/485459.png","ImageObject",300,407,{"name":92,"@type":93},"dhado","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",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 formulas are used to compute volumes?","Question",{"text":112,"@type":113},"Spheres use V = 4/3·(pi)(r^3), and cones use V = 1/3·(pi)(r^2)(h).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are diameters and circumferences handled in the questions?",{"text":117,"@type":113},"Diameters are converted to radii, and circumferences are converted to radii using the relationship involving pi, then volumes are computed with the given formulas.",{"name":119,"@type":110,"acceptedAnswer":120},"What does “in terms of pi” mean in these problems?",{"text":121,"@type":113},"Final answers are expressed as multiples of pi (e.g., 288π), not decimal approximations.","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},485459,1792873492,{"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":81,"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":39,"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) 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?\u003Cbr>2) Olivia bought a melon shaped like a sphere with a circumference of 18π inches. What is the volume of the melon, in cubic inches, in terms of pi?\u003Cbr>3) A rubber ball is a sphere with a radius of 6 centimeters. What is the volume of the ball, in cubic centimeters, in terms of pi?\u003Cbr>4) A cannonball is a sphere with a radius of 3 inches. What is the volume of the cannonball, in cubic inches, in terms of pi?\u003Cbr>5) A waffle cone at the fair has a radius of 2 centimeters and a height of 9 centimeters. What is the volume of the cone, in cubic centimeters, in terms of pi?\u003Cbr>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?\u003Cbr>7) An orange is a sphere with a circumference of 12π inches. What is the volume of the orange, in cubic inches, in terms of pi?\u003Cbr>8) A marble is a sphere with a radius of 9 centimeters. What is the volume of the marble, in cubic centimeters, in terms of pi?\u003Cbr>9) A gumball is a sphere with a radius of 6 millimeters. What is the volume of the gumball, in cubic millimeters, in terms of pi?\u003Cbr>10) A pile of gravel is shaped like a cone with a radius of 6 feet and a height of 9 feet. What is the volume of the gravel pile, in cubic feet, in terms of pi?\u003Cbr>11) A bubble floats in the air as a sphere with a circumference of 12π centimeters. What is the volume of the bubble, in cubic centimeters, in terms of pi?\u003Cbr>12) A basketball is a sphere with a radius of 6 inches. What is the volume of the basketball, in cubic inches, in terms of pi?\u003Cbr>13) Bianca made a sphere of dough with a diameter of 12 inches. What is the volume of the dough, in cubic inches, in terms of pi? |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.  \u003Cbr>13.  \u003Cbr>14.  \u003Cbr>15.   |  |  |  |  |  |  |  |\n| 14) A melon is a sphere with a circumference of 6π inches. What is the volume the melon, in cubic inches, in terms of pi? |  | of |  |  |  |  |  |  |  |  |  |\n| 15) A balloon is inflated into a sphere with a diameter of 6 inches. What is the volume of the balloon, in cubic inches, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>\u003Cbr>Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>3\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) 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?\u003Cbr>2) Olivia bought a melon shaped like a sphere with a circumference of 18π inches. What is the volume of the melon, in cubic inches, in terms of pi?\u003Cbr>3) A rubber ball is a sphere with a radius of 6 centimeters. What is the volume of the ball, in cubic centimeters, in terms of pi?\u003Cbr>4) A cannonball is a sphere with a radius of 3 inches. What is the volume of the cannonball, in cubic inches, in terms of pi?\u003Cbr>5) A waffle cone at the fair has a radius of 2 centimeters and a height of 9 centimeters. What is the volume of the cone, in cubic centimeters, in terms of pi?\u003Cbr>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?\u003Cbr>7) An orange is a sphere with a circumference of 12π inches. What is the v","cbCaijWpciOxuw3J","https://ap.wps.com/l/cbCaijWpciOxuw3J","pdf",44741,"English","# Problem Set\n## Spheres in terms of pi\n## Cones in terms of pi\n# Answer Key","[{\"question\":\"What formulas are used to compute volumes?\",\"answer\":\"Spheres use V = 4/3·(pi)(r^3), and cones use V = 1/3·(pi)(r^2)(h).\"},{\"question\":\"How are diameters and circumferences handled in the questions?\",\"answer\":\"Diameters are converted to radii, and circumferences are converted to radii using the relationship involving pi, then volumes are computed with the given formulas.\"},{\"question\":\"What does “in terms of pi” mean in these problems?\",\"answer\":\"Final answers are expressed as multiples of pi (e.g., 288π), not decimal approximations.\"}]","Volume of Spheres and Cones - solve each problem in terms of pi | PDF",1790804272]