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Scenarios include a paper cup, cannonball, sand pile, melon, waffle cone, funnel, and a basketball, plus additional sphere/ cone cases using circumference information to connect to radius.",{"@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/485463/",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/485463.png","ImageObject",300,407,{"name":42,"@type":43},"dhado","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-06","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What formulas are used to calculate volume in this worksheet?","Question",{"text":63,"@type":64},"Spheres use V = 4/3(π)(r^3). 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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 paper cup is shaped like a cone with a radius of 5 inches and a height of 12 inches. What is the volume of the cup, in cubic inches, in terms of pi?\u003Cbr>2) A cannonball is a sphere with a radius of 9 inches. What is the volume of the cannonball, in cubic inches, in terms of pi?\u003Cbr>3) A pile of sand is shaped like a cone with a radius of 3 feet and a height of 12 feet. What is the volume of the sand pile, in cubic feet, in terms of pi?\u003Cbr>4) A melon is a sphere with a radius of 3 inches. What is the volume of the melon, in cubic inches, in terms of pi?\u003Cbr>5) A waffle cone at the fair has a radius of 3 centimeters and a height of 9 centimeters. What is the volume of the cone, in cubic centimeters, in terms of pi?\u003Cbr>6) A funnel is shaped like a cone with a radius of 5 centimeters and a height of 12 centimeters. What is the volume of the funnel, in cubic centimeters, in terms of pi?\u003Cbr>7) A waffle cone is shaped like a cone with a radius of 6 centimeters and a height of 15 centimeters. What is the volume of the waffle cone, in cubic centimeters, |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.   |  |  |  |  |  |  |  |\n| 8) | in terms of pi?\u003Cbr>Carol bought a melon shaped like a sphere with a circumference of 18π centimeters. What is the volume of the melon, in cubic centimeters, in terms of |  |  |  | 10.   |  |  |  |  |  |  |  |\n| 9) | pi?\u003Cbr>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? |  |  |  | 11.  \u003Cbr>12. |  |  |  |  |  |  |  |\n| 10) | A paper cup is shaped like a cone with a radius of 6 centimeters and a height of 15 centimeters. What is the volume of the cup, in cubic centimeters, in terms of |  |  |  | 13. |  |  |  |  |  |  |  |\n| 11) | pi?\u003Cbr>A basketball is a sphere with a diameter of 12 inches. What is the volume of the basketball, in cubic inches, in terms of pi? |  |  |  | 14.   |  |  |  |  |  |  |  |\n| 12) | 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? |  |  |  | 15.   |  |  |  |  |  |  |  |\n| 13) | A melon is a sphere with a circumference of 12π inches. What is the volume of the melon, in cubic inches, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 14) | A volcano model is shaped like a cone with a radius of 7 feet and a height of 15 feet. What is the volume of the model, in cubic feet, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n| 15) | A ball of yarn is a sphere with a circumference of 6π centimeters. What is the volume of the ball of yarn, in cubic centimeters, in terms of pi? |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com)\u003Cbr>6\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 paper cup is shaped like a cone with a radius of 5 inches and a height of 12 inches. What is the volume of the cup, in cubic inches, in terms of pi?\u003Cbr>2) A cannonball is a sphere with a radius of 9 inches. What is the volume of the cannonball, in cubic inches, in terms of pi?\u003Cbr>3) A pile of sand is shaped like a cone with a radius of 3 feet and a height of 12 feet. What is the volume of the sand pile, in cubic feet, in terms of pi?\u003Cbr>4) A melon is a sphere with a radius of 3 inches. What is the volume of the melon","cbCaiixfBiRCRElL","https://ap.wps.com/l/cbCaiixfBiRCRElL","pdf",44720,"English","# Solve in terms of pi\n## Sphere volume using V = 4/3πr^3\n## Cone volume using V = 1/3πr^2h","[{\"question\":\"What formulas are used to calculate volume in this worksheet?\",\"answer\":\"Spheres use V = 4/3(π)(r^3). Cones use V = 1/3(π)(r^2)(h).\"},{\"question\":\"What information is given for the cone and sphere problems?\",\"answer\":\"Most problems provide radii and heights for cones, and radii (or diameter) for spheres. Some sphere problems provide circumference in terms of π instead of radius.\"},{\"question\":\"How are the final answers expressed?\",\"answer\":\"Answers are written in cubic units in terms of π, such as kπ for different k values.\"}]","Volume of Spheres and Cones - Solve in terms of pi | PDF",1790804278]