[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-297254-105":59,"doc-detail-297254-en":135},{"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":128,"head_meta":130,"extra_data":132,"updated_unix":134},105,"en","lesson-4-surface-area-of-cylinders-find-the-total-surface-area","Lesson 4 Surface Area of Cylinders - Find the total surface area","","Lesson 4 focuses on finding lateral area and total surface area for cylinders in real-world and practice problems. It includes worked examples and multiple independent practice questions involving cylindrical fences, candles, labels, water tanks, pipes, and containers, with rounding to the nearest tenth. Higher-order thinking questions ask how changing height affects surface area and compare two cylinders with different radius and height, using reasoning and inductive 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Wilson","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",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119,123],{"name":110,"@type":111,"acceptedAnswer":112},"What formulas are used to find the lateral area and total surface area of a cylinder?","Question",{"text":113,"@type":114},"The lateral area is L.A. = 2πrh, and the total surface area is T.S.A. = 2πrh + 2πr² (often written as S.P = 2Mrh + 2πr² in the worksheet).","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you handle rounding in the cylinder surface area problems?",{"text":118,"@type":114},"Each problem specifies rounding to the nearest tenth, so the final answers should be given with one decimal place.",{"name":120,"@type":111,"acceptedAnswer":121},"If the height of a cylinder is doubled, does its surface area also double?",{"text":122,"@type":114},"The side (lateral area) doubles, but the base areas do not, so the total surface area does not simply double.",{"name":124,"@type":111,"acceptedAnswer":125},"Which cylinder has a greater surface area: radius 6 cm height 3 cm or radius 3 cm height 6 cm?",{"text":126,"@type":114},"The cylinder with radius 6 cm and height 3 cm has the greater surface area, based on the sample areas shown in the worksheet.","https://schema.org",{"og:url":83,"og:type":129,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":131,"canonical":83},"index,follow",{"doc_id":133,"site_id":62},297254,1789743387,{"code":4,"msg":5,"data":136},{"doc_id":133,"user_id":137,"nickname":92,"user_avatar":138,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":139,"file_id":140,"file_url":141,"file_type":142,"file_size":143,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":34,"language":144,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":145,"faqs":146,"seo_title":147,"seo_description":67,"update_tm":134,"read_time":148},3848291630094,"https://eur-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","S.A二You need to find the lateral area.The radius of the circular fenceis 35 feet.The height is 2 feet.2个r十2竹r32.(3145)²2c.92.9cm²d.Find the total surface area of a cylindrical candle with ad.65m      nearest tenth.2(3140127(2-57+212)Lesson 4 Surface Area of Cylin  \nL.A.=2πrhLateral area of a cylinder  \nL.A.=2π(35)(2)Replace rwith 35 and h with 2.  \nL.A.≈439.8Simplify.  \nSo,about 439.8 square feet of material is needed to makethe fence.  \nGot It?Do these problems to find out.  \nFind the area of the label of a can of tuna with a radius of  \n5.1 centimeters and a height of 2.9 centimeters.Round tothe nearest tenth.  \nCopyright ◎McGraw-Hill Education  \nS.P=2Mrh+2介r²  \nFind the total surface area of each cylinder.Round to the nearesttenth.(Example1)  \n466.5 in² 8in.1960.4 cm²  \n7.5 in.24cm14 cm  \n5.Find the total surface area of a water tank with a height of 10 meters anda diametor of10 metere Rnlnd tn the nearect tenth Fvamale 471.2m²  \n5.Find the total surface area of a water tank with a height of 10 meters and471.2m²a diameter of 10 meters.Round to the nearest tenth.(Example 1)  \n   \nFind the lateral area of each cylinder.Round to the nearest tenth.(Example 2)  \n132.4 in²  \n377.0 ft²  \n6.  \n7.  \n5ft  \n12ft  \n6.8 in.  \nRate Yours  \n8.Find the area of the label of a cylindrical potato chipcontainer with a radius of 3.1 inches and a height of  \nAre you read  \nShade the se  \n9.2 inches.Round to the nearest tenth.(Example 2)  \n179.2 in²  \nBuilding on the Essential Question How is a9.calculation affected if you roundπto 3.14 or use theπ key on your calculator?Explain.  \nSample answer:Calculating with more decimal placesproduces an answer closer to the exact value.  \n   \nFor more help,  \naccess a Person  \n   \n# Independent Practice\n\nFind the total surface area of each cylinder.Round to the nearest  \ntenth.(Example1)  \n88.0mm²   \n5 mm  \n2mm  \n272.0mm²   \n5.6 mm  \n2.1,215.8m²   \n12.5m  \n4.1,120.0 in²  \n4 in.  \n5.A cylindrical candle has a diameter of 4 inches and a height of7 inches.To the nearest tenth,what is the total surface area of thecandle?(Example 1)113.1in²                      \n7.1,068.1 yd²  \n   \n20yd  \n6.4 inches and a height of 12 inches.Round to the nearest tenth.  \n241.3 in²  \n(Example 2)  \n6.Find the total surface area of an unsharpened cylindrical pencil that has aradius of 0.5 centimeter and a height of 19 centimeters.Round to thenearest tenth.(Example 1)61.3 cm²  \n   \nFind the lateral area of each cylinder.Round to the nearest tenth.(Example 2)  \n620.8mm²  \n8.  \n7.6 mm  \n13 mm  \n9 Find the lateral area of a cylindrical copper pipe that has a diameter of  \n   \na.What is the least amount of paper that will be needed to wrap one550i  2candle with no overlap?56.9 in                    \nb.How many square feet of wrapping paper will be needed to wrap all70 candles?27.7 ft²                  \n# H.O.T.Problems Higher Order Thinking\n\n11.CCSS Persevere with Problems If the height of a cylinder is doubled,willits surface area also double?Explain your reasoning.  \nNo,the surface area of the side of the cylinder will double,but the area of the bases will not.                              \n12.CCSSReason Inductively Which has a greater surface area:a cylinderwith radius 6 centimeters and height 3 centimeters or a cylinder withradius 3 centimeters and height 6 centimeters?Explain your reasoning.  \nA cylinder with radius 6cm and height 3 cm has a greater surface area than acylinder with height 6cm and radius 3 cm;Sample answer:The first cylinder has asurface area of 339.3 cm²while the second cylinder has a surface area of 169.6 cm².  \n# 13.CGSS\n\nReason Inductively A baker is icing a cylindrical cake with radius randheight h.The baker will ice the top and sides of the cake.Write an equationgiving the total area A that the baker willice.Explain why your equation is notthe same as the formula for the total surface area of a cylinder.  \nA=2πrh+πr²;Sample answer:The baker will not ice the bottom of thecake,so you only need to include the are","cbCaikEEHdB8M8hs","https://ap.wps.com/l/cbCaikEEHdB8M8hs","pdf",1553734,"English","# Lesson 4 Surface Area of Cylinders\n## Lateral area and total surface area formulas\n## Independent Practice: total surface area problems\n## Independent Practice: label and lateral area problems\n## Higher Order Thinking (H.O.T.): reasoning and comparisons","[{\"question\":\"What formulas are used to find the lateral area and total surface area of a cylinder?\",\"answer\":\"The lateral area is L.A. = 2πrh, and the total surface area is T.S.A. = 2πrh + 2πr² (often written as S.P = 2Mrh + 2πr² in the worksheet).\"},{\"question\":\"How do you handle rounding in the cylinder surface area problems?\",\"answer\":\"Each problem specifies rounding to the nearest tenth, so the final answers should be given with one decimal place.\"},{\"question\":\"If the height of a cylinder is doubled, does its surface area also double?\",\"answer\":\"The side (lateral area) doubles, but the base areas do not, so the total surface area does not simply double.\"},{\"question\":\"Which cylinder has a greater surface area: radius 6 cm height 3 cm or radius 3 cm height 6 cm?\",\"answer\":\"The cylinder with radius 6 cm and height 3 cm has the greater surface area, based on the sample areas shown in the worksheet.\"}]","Lesson 4 Surface Area of Cylinders - Find the total surface area | PDF",18]