[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-485456-105":59,"doc-detail-485456-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-volume-problems-solve-in-terms-of-pi","Volume of Spheres and Cones - Volume Problems - Solve in Terms of pi","","Volume problems for spheres and cones, solved using pi-based formulas. The worksheet states V = 4/3(pi)(r^3) for spheres and V = 1/3(pi)(r^2)(h) for cones, then asks for volumes in cubic units based on given radii, heights, and dimensions. It includes multiple word problems (rubber ball, funnel, snowball, ball bearing, snow globe, cone-shaped paper, gum drop, sand pile, planet model, snow cone, bowling ball, megaphone, orange, planetarium dome). An answer key provides final expressions like 36π, 24π, 972π, 64π, and 50π.",{"@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-volume-problems-solve-in-terms-of-pi/485456/",{"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-volume-problems-solve-in-terms-of-pi/485456.png","ImageObject",300,407,{"name":92,"@type":93},"dhado","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","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 find the volume of a sphere and a cone?","Question",{"text":112,"@type":113},"Use V = 4/3(π)(r^3) for spheres and V = 1/3(π)(r^2)(h) for cones.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you handle problems that give a sphere’s circumference instead of radius?",{"text":117,"@type":113},"Convert circumference to radius using C = 2πr, then substitute the radius into V = 4/3(π)(r^3).",{"name":119,"@type":110,"acceptedAnswer":120},"Where can the final volume answers be found?",{"text":121,"@type":113},"The document includes an Answer Key section listing results for problems 1 through 15.","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},485456,1792854616,{"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 = 1/3(pi)(r^2)(h) for cones.\u003Cbr>1) A rubber ball is a sphere with a radius of 3 centimeters. What is the volume of the ball, in cubic centimeters, in terms of pi?\u003Cbr>2) A funnel is shaped like a cone with a radius of 2 centimeters and a height of 18 centimeters. What is the volume of the funnel, in cubic centimeters, in terms of pi?\u003Cbr>3) Tiffany rolled a snowball into a sphere with a circumference of 6π inches. What is the volume of the snowball, in cubic inches, in terms of pi?\u003Cbr>4) A ball bearing is a sphere with a radius of 9 millimeters. What is the volume of the ball bearing, in cubic millimeters, in terms of pi?\u003Cbr>5) A snow globe holds a sphere of water with a circumference of 18π inches. What is the volume of the sphere, in cubic inches, in terms of pi?\u003Cbr>6) Nancy rolled a piece of paper into a cone with a radius of 3 centimeters and a height of 6 centimeters. What is the volume of the cone, in cubic centimeters, in terms of pi?\u003Cbr>7) A gum drop candy is a sphere with a radius of 6 centimeters. What is the volume of the candy, in cubic centimeters, in terms of pi?\u003Cbr>8) A pile of sand is shaped like a cone with a radius of 4 feet and a height of 6 feet. What is the volume of the sand pile, in cubic feet, in terms of pi?\u003Cbr>9) A planet in a model is a sphere with a radius of 9 centimeters. What is the volume of the model planet, in cubic centimeters, in terms of pi?\u003Cbr>10) A snow cone is shaped like a cone with a radius of 4 centimeters and a height of\u003Cbr>12 centimeters. What is the volume of the snow cone, in cubic centimeters, in terms of pi?\u003Cbr>11) A bowling ball is a sphere with a diameter of 18 inches. What is the volume of the bowling ball, in cubic inches, in terms of pi?\u003Cbr>12) A megaphone is shaped like a cone with a radius of 2 centimeters and a height of 12 centimeters. What is the volume of the megaphone, in cubic centimeters, in terms of pi?\u003Cbr>13) An orange is a sphere with a circumference of 6π inches. What is the volume of the orange, in cubic inches, in terms of pi?\u003Cbr>14) A planetarium dome is a sphere with a radius of 9 meters. What is the volume of the dome, in cubic meters, in terms of pi?\u003Cbr>15) Rachel rolled paper into a cone with a radius of 5 centimeters and a height of 6 centimeters. What is the volume of the cone, in cubic centimeters, in terms of pi? |  |  |  | Answers\u003Cbr>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| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>\u003Cbr>Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>10\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 rubber ball is a sphere with a radius of 3 centimeters. What is the volume of the ball, in cubic centimeters, in terms of pi?\u003Cbr>2) A funnel is shaped like a cone with a radius of 2 centimeters and a height of 18 centimeters. What is the volume of the funnel, in cubic centimeters, in terms of pi?\u003Cbr>3) Tiffany rolled a snowball into a sphere with a circumference of 6π inches. What is the volume of the snowball, in cubic inches, in terms of pi?\u003Cbr>4) A ball bearing is a sphere with a radius of 9 millimeters. What is the volume of the ball bearing, in cubic millimeters, in terms of pi?\u003Cbr>5) A snow globe holds a sphere of water with a circumference of 18π inches. What is the volume of the sphere, in cubic inches, in terms of pi?\u003Cbr>6) Nancy rolled a piece of paper into a cone with a radius of 3 centimeter","cbCaioA1EZQN9gWP","https://ap.wps.com/l/cbCaioA1EZQN9gWP","pdf",44994,"English","# Sphere volume using V = 4/3(π)r^3\n## Cone volume using V = 1/3(π)r^2h\n# Word problems and answer key","[{\"question\":\"What formulas are used to find the volume of a sphere and a cone?\",\"answer\":\"Use V = 4/3(π)(r^3) for spheres and V = 1/3(π)(r^2)(h) for cones.\"},{\"question\":\"How do you handle problems that give a sphere’s circumference instead of radius?\",\"answer\":\"Convert circumference to radius using C = 2πr, then substitute the radius into V = 4/3(π)(r^3).\"},{\"question\":\"Where can the final volume answers be found?\",\"answer\":\"The document includes an Answer Key section listing results for problems 1 through 15.\"}]","Volume of Spheres and Cones - Volume Problems - Solve in Terms of pi | PDF",1790804262]