[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-297542-105":59,"doc-detail-297542-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","how-can-you-find-the-volume-of-a-cylinder-exercises","How can you find the volume of a cylinder? - Exercises","","Cylinder volume lessons focused on using the relationship V = Bh, where B is the area of the base and h is the height. Tasks include finding coin face area and the volume of stacked coins, generalizing results to cylinders, and designing proportional cylindrical candles for pricing. The material includes science and comparison activities, examples for finding volume, radius, and height, and applied problems such as salsa loss, water-cooler capacity, and cylinder-based pool or tower situations. Additional critical thinking examines how volume changes with diameter changes, plus estimation and equation-based rate/height problems.",{"@graph":69,"@context":123},[70,84,106],{"@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/how-can-you-find-the-volume-of-a-cylinder-exercises/297542/",{"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/how-can-you-find-the-volume-of-a-cylinder-exercises/297542.png","ImageObject",300,407,{"name":92,"@type":93},"Valentina","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What formula is used to find the volume of a cylinder?","Question",{"text":113,"@type":114},"Use V = Bh, where B is the area of the base and h is the height.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How can you find the height of a cylinder when given its volume and radius or diameter?",{"text":118,"@type":114},"Substitute V = Bh with the known base area (from the radius) and solve for h by dividing by the base area.",{"name":120,"@type":111,"acceptedAnswer":121},"Does the volume stay proportional when cylinder dimensions scale for candles of different sizes?",{"text":122,"@type":114},"The exercise asks whether prices were set proportionally to volume, so volume scaling determines whether proportional pricing is appropriate.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},297542,1789745619,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":144},13056703020460,"https://ap-avatar.wpscdn.com/avatar/be000253dac470eee5d?_k=1778207105932848923","STATE STANDARDS  \nMA.7.G.2.1  \nHow can you find the  \nvolume of a cylinder?  \nWork with a partner.  \na. Find the area of the face of a coin.  \nb. Find the volume of a stack of a dozen coins.  \nc. Generalize your results to find the volume of a cylinder.  \nWork with a partner. You are planning to make and sell 3 different sizes of cylindrical  \ncandles. You buy 1 cubic foot of candle wax for $20 to make 8 candles of each size.  \na. Design the candles. What are the dimensions of each size?  \nb. You want to make a profit of $100. Decide on a price for each size.  \nc. Did you set the prices so that they are proportional to the volume of each size of candle? Why or why not?  \nArea of base = B  \nHeight = h  \n1  \n2  \n304 Chapter 7 Volumes of Solids  \n3 ACTIVITY: Science Experiment   \nWork with a partner. Use the diagram to describe how you can find the volume of a small object.  \n4 ACTIVITY: Comparing Cylinders  \nWork with a partner.  \na. Just by looking at the two cylinders, which one do you think has the greater volume? Explain your reasoning.  \nb. Find the volume of each cylinder. Was your prediction in part (a) correct? Explain your reasoning.  \n9  \n5. IN YOUR OWN WORDS How can you find the volume of a cylinder?  \n6. Compare your formula for the volume of a cylinder with the formula for the volume of a prism. How are they the same?  \n“Here’s how I remember how to find the volume of any prism or cylinder.”  \n“Base times tall, will fill ‘em all.”  \nUse what you learned about the volumes of cylinders to complete Exercises 3–5 on page 308.  \nSection 7.2 Volumes of Cylinders 305  \narea of base, B  \nheight, h  \nEXAMPLE 1 ~~Finding the Volume of a Cylinder~~   \nFind the volume of the cylinder. Round your answer to the nearest tenth.  \nV = Bh Write formula for volume.  \n= π (3)2 (6) Substitute.  \n= 54 π ≈ 169.6 Simplify. The volume is about 169.6 cubic meters.  \n6 m  \nEXAMPLE 2 ~~Finding the Height of a Cylinder~~   \nFind the height of the cylinder. Round your answer to the nearest whole number.  \nThe diameter is 10 inches. So, the radius is 5 inches.  \nV = Bh Write formula for volume.  \n314 = π (5)2 (h) Substitute.  \n314 = 25 π h Simplify.  \n4 ≈ h Divide each side by 25 π.  \n The height is about 4 inches.  \nh  \n10 in.~~ ~~  \nVolume = 314 in.3  \nExercises 3–11   \nand 13–15  \nFind the volume Vor height h of the cylinder. Round your answer to  \nthe nearest tenth.  \n1. 15 ft  \n4 ft  \nV ≈  \n2.  \n8 cm  \nh ≈  \nVolume = 176 cm3  \n306 Chapter 7 Volumes of Solids  \nEXAMPLE 3 ~~Real~~-~~Life Application~~  How much salsa is missing from the jar?  \nThe missing salsa fills a cylinder with a height of 10 − 4 = 6 centimeters and a radius of 5 centimeters.  \nV = Bh Write formula for volume.  \n= π (5)2 (6) Substitute. 4 cm  \n= 150 π ≈ 471 Simplify.  \n About 471 cubic centimeters of salsa are missing from the jar.  \nEXAMPLE 4 ~~Standardized Test Practice~~   \n1.7 ft  \n1 ft   \nAbout how many gallons of water does the water cooler bottle contain? (1 ft3 ≈ 7.5 gal)  \n○A 5.3 gal ○B 10 gal ○C 17 gal ○D 40 gal Find the volume of the cylinder. The diameter is 1 foot. So, the radius is  \n0.5 foot.  \nV = Bh Write formula for volume.  \n= π (0 .5)2 (1 .7) Substitute.  \n= 0.425 π ≈ 1.3345 Simplify.  \nSo, the cylinder contains about 1.3345 cubic feet of water. To find the number of gallons it contains, multiply by .51fgt3al.  \n1.3345 ft3 × .51fgt3al ≈ 10 gal  \nThe water cooler bottle contains about 10 gallons of water. The correct answer is ○B .  \n3. WHAT IF? In Example 3, the height of the salsa in the jar is  \n5 centimeters. How much salsa is missing from the jar?  \n4. A cylindrical water tower has a diameter of 15 meters and a height of 5 meters. About how many gallons of water can the tower contain? (1 m3 ≈ 264 gal)  \nSection 7.2 Volumes of Cylinders 307  \n1. DIFFERENT WORDS, SAME QUESTION Which is different? Find “both” answers.  \nHow much does it take to fill the cylinder?  \n5 cm  \n12 cm  \n8 in.  \n2. REASONING Without calculating, which of the solids has the greater vo","cbCaioGswdDAWohX","https://ap.wps.com/l/cbCaioGswdDAWohX","pdf",4908012,"English","# Volume of Cylinders\n## Find the volume using V = Bh\n## Related examples and applications\n## Practice exercises and reasoning questions","[{\"question\":\"What formula is used to find the volume of a cylinder?\",\"answer\":\"Use V = Bh, where B is the area of the base and h is the height.\"},{\"question\":\"How can you find the height of a cylinder when given its volume and radius or diameter?\",\"answer\":\"Substitute V = Bh with the known base area (from the radius) and solve for h by dividing by the base area.\"},{\"question\":\"Does the volume stay proportional when cylinder dimensions scale for candles of different sizes?\",\"answer\":\"The exercise asks whether prices were set proportionally to volume, so volume scaling determines whether proportional pricing is appropriate.\"}]","How can you find the volume of a cylinder? - Exercises | PDF",15]