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Students use the sphere volume formula V = 4/3(pi)(r^3) and the cone volume formula V = 1/3(pi)(r^2)(h). Each item describes a 3D object (volcano model, pearl, soap bubble, tepee, orange, bubble, snow globe, basketball, softball, water tank, candy corn piece) with given radius, diameter, height, or circumference. The answer key provides final results in terms of pi for each numbered question.",{"@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/485457/",{"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/485457.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":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Which formulas are used to solve the worksheet problems?","Question",{"text":112,"@type":113},"Use V = 4/3(π)(r^3) for spheres and V = 1/3(π)(r^2)(h) for cones, with r as the radius and h as the cone height.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you handle diameters and circumferences given in terms of π?",{"text":117,"@type":113},"Convert diameter to radius by r = d/2, and convert circumference C = 2πr to find r before substituting into the volume formulas.",{"name":119,"@type":110,"acceptedAnswer":120},"What kinds of objects are included in the problems?",{"text":121,"@type":113},"The worksheet includes models such as a volcano-shaped cone, a tepee, and multiple sphere-based items like pearls, soap bubbles, snow globes, basketballs, softballs, and water tanks.","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},485457,1792854618,{"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":29,"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 volcano model is shaped like a cone with a radius of 6 feet and a height of 9 feet. What is the volume of the model, in cubic feet, in terms of pi?\u003Cbr>2) A pearl is a sphere with a diameter of 18 millimeters. What is the volume of the pearl, in cubic millimeters, in terms of pi?\u003Cbr>3) A soap bubble is a sphere with a diameter of 18 centimeters. What is the volume of the bubble, in cubic centimeters, in terms of pi?\u003Cbr>4) A soap bubble is a sphere with a radius of 3 inches. What is the volume of the bubble, in cubic inches, in terms of pi?\u003Cbr>5) A tepee is shaped like a cone with a radius of 4 feet and a height of 6 feet. What is the volume of the tepee, in cubic feet, in terms of pi?\u003Cbr>6) An orange is a sphere with a circumference of 18π centimeters. What is the volume of the orange, in cubic centimeters, in terms of pi?\u003Cbr>7) 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>8) A snow globe is a sphere with a diameter of 12 inches. What is the volume of the snow globe, in cubic inches, in terms of pi?\u003Cbr>9) A basketball is a sphere with a diameter of 6 inches. What is the volume of the basketball, in cubic inches, in terms of pi?\u003Cbr>10) A softball is a sphere with a radius of 9 inches. What is the volume of the softball, in cubic inches, in terms of pi?\u003Cbr>11) A snow globe holds a sphere of water with a diameter of 12 centimeters. What is the volume of the water, in cubic centimeters, in terms of pi?\u003Cbr>12) A soccer ball is a sphere with a diameter of 18 inches. What is the volume of the soccer ball, in cubic inches, in terms of pi?\u003Cbr>13) A candy corn piece is shaped like a cone with a radius of 3 centimeters and a height of 3 centimeters. What is the volume of the piece, in cubic centimeters, in terms of pi?\u003Cbr>14) 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>15) A soap bubble forms a sphere with a radius of 9 centimeters. What is the volume of the bubble, 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>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 volcano model is shaped like a cone with a radius of 6 feet and a height of 9 feet. What is the volume of the model, in cubic feet, in terms of pi?\u003Cbr>2) A pearl is a sphere with a diameter of 18 millimeters. What is the volume of the pearl, in cubic millimeters, in terms of pi?\u003Cbr>3) A soap bubble is a sphere with a diameter of 18 centimeters. What is the volume of the bubble, in cubic centimeters, in terms of pi?\u003Cbr>4) A soap bubble is a sphere with a radius of 3 inches. What is the volume of the bubble, in cubic inches, in terms of pi?\u003Cbr>5) A tepee is shaped like a cone with a radius of 4 feet and a height of 6 feet. What is the volume of the tepee, in cubic feet, in terms of pi?\u003Cbr>6) An orange is a sphere with a circumference of 18π centimeters. What is the volume of the orange, in cubic centimeters, in terms of pi?\u003Cbr>7) 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>8) A snow globe ","cbCaiiimS2SdrFyX","https://ap.wps.com/l/cbCaiiimS2SdrFyX","pdf",44584,"English","# Volume Formulas\n## Sphere Volume (V = 4/3πr³)\n## Cone Volume (V = 1/3πr²h)\n# Application to Real-World Models","[{\"question\":\"Which formulas are used to solve the worksheet problems?\",\"answer\":\"Use V = 4/3(π)(r^3) for spheres and V = 1/3(π)(r^2)(h) for cones, with r as the radius and h as the cone height.\"},{\"question\":\"How do you handle diameters and circumferences given in terms of π?\",\"answer\":\"Convert diameter to radius by r = d/2, and convert circumference C = 2πr to find r before substituting into the volume formulas.\"},{\"question\":\"What kinds of objects are included in the problems?\",\"answer\":\"The worksheet includes models such as a volcano-shaped cone, a tepee, and multiple sphere-based items like pearls, soap bubbles, snow globes, basketballs, softballs, and water tanks.\"}]","Volume of Spheres and Cones - solve each problem in terms of pi | PDF",1790804267]