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Students review total surface area concepts and then use base area and height to obtain the cylinder volume V = πr²h. The cone volume is derived as V = (1/3)πr²h from radius, height, and edge length. The lesson includes worked examples for both solids and a brief evaluation plus an assignment to calculate volumes using given radius and height.",{"@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/lesson-plan-volume-of-cylinders-and-cones-third-week/297468/",{"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/lesson-plan-volume-of-cylinders-and-cones-third-week/297468.png","ImageObject",300,407,{"name":92,"@type":93},"Cart","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",21,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What formula is used to calculate the volume of a cylinder?","Question",{"text":113,"@type":114},"The lesson uses V = πr²h, where r is the radius of the base and h is the height.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is the formula for the volume of a cone derived?",{"text":118,"@type":114},"The cone volume is derived using the cone’s radius r and height h, giving V = (1/3)πr²h.",{"name":120,"@type":111,"acceptedAnswer":121},"What do students do in Step III before the evaluation?",{"text":122,"@type":114},"Students work through examples that apply the derived volume formulas for both cylinders and cones, then answer evaluation questions.","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},297468,1789744814,{"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":24,"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},18829141979164,"https://eur-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","LESSON PLAN  \n\n| DATE | 16/05/2025 |\n| --- | --- |\n| CLASS | J.S. 2 |\n| NO. IN CLASS | 80 |\n| SEX | MIXED |\n| SUBJECT | MATHEMATICS |\n| TOPIC | CYLINDERS AND CONES |\n| SUB-TOPIC | VOLUME OF CYLINDERS AND CONES |\n| DURATION | 2HOURS |\n| PERIOD | 1ST – 2ND AND 5TH |\n| TIME | 08:00 – 9:20am; 11:10 – 11:50am |\n| INSTRUCTIONAL RESOURCES | Models of cylinders and cones. Nets of cylinders and cones. |\n| BEHAVIOURAL OBJECTIVES | At the end of the lesson, the students should be able to:\u003Cbr>i) Derive formula for volume of cylinders;\u003Cbr>ii) Derive formula for volume of cones;\u003Cbr>iii) Apply the derived formula for calculating volume of cylinders and cones. |\n| PREVIOUS KNOWLEDGE | Students are conversant with total surface areas of cylinders and cones from the previous lesson. |\n| REFERENCES | New General Mathematics for Junior Secondary Schools. Book 2, UBE Edition.\u003Cbr>MAN Mathematics for Junior Secondary Schools. Book 2, UBE Edition.\u003Cbr>New Concepts Mathematics for Junior Secondary Schools. Book 2. |\n\n\n| LESSON DEVELOPMENT |  |  |  |\n| --- | --- | --- | --- |\n| PRESENTATION | TEACHER’S ACTIVITY | STUDENTS’ACTIVITIES | LEARNING\u003Cbr>POINTS |\n| INTRODUCTION | Teacher introduces the lesson based on previous knowledge as thus:\u003Cbr>Total surface area of cylinder is equal to the Area of base I + Area of Base II + Curved Surface Area (CSA). Thus:\u003Cbr>TSA/A = πr2 + πr2 + 2πrh\u003Cbr>= 2πr2 + 2πrh Factorize the expression above:\u003Cbr>TSA = 2πr(r + h)\u003Cbr>Therefore, formula to calculate the total surface area (TSA) of a cylinder is:\u003Cbr>TSA = 2πr(r + h)\u003Cbr>Total surface area of cones is equal to surface area of the circular face (base) + Curved surface area (CSA). Thus:\u003Cbr>TSA = πrl + πr2\u003Cbr>Factorize the expression above:\u003Cbr>TSA = πr(l + r)\u003Cbr>Therefore, the formula to calculate the total surface area (TSA) of a cone is:\u003Cbr>TSA = πr(l + r) |  |  |\n| STEP I | Teacher explains to the students the derivation of the formula for volume of cylinders as thus:\u003Cbr>As we know, the volume of the cuboid is the product of the area of a rectangle with height (h)\u003Cbr>–(l x b x h). The same is the situation with a 3D cylindrical containers.\u003Cbr>Hence, we take the product of the base area and the height to get the volume. So, the volume of a cylindrical container is equal to Area of circular base (b) x Height (h), that is, b x h, where area of circular base (b) is πr2 and (h) is the height. Hence, Volume (V) = πr2h. |  |  |\n| STEP II | Teacher guides the students on how to derive formula for volume of cones as thus:\u003Cbr>We can write the volume of the cone (V), which has a radius of its circular base as “r”, height from the vertex to the base as “h” and length of the edge of the cone, that is, slant height as “l”. Therefore, Volume (V) = 1/3πr2h cubic units. |  |  |\n\n\n| STEP III | Teacher further guides the students on how to apply the derived formula in calculating volume of cylinders and cones as thus:\u003Cbr>EXAMPLE\u003Cbr>VOLUME OF CYLINDERS\u003Cbr>1) The radius of the cylinder we have is 8cm and the height of the cylinder is given as 15cm. Find the volume of the cylinder.\u003Cbr>SOLUTION\u003Cbr>h = 15cm\u003Cbr>Curved Surface area Axis\u003Cbr>Formula: V = πr2h, where π = 22/7 or 3. 14, r = 8cm, h = 15cm\u003Cbr>Substitute the values in the formula:\u003Cbr>V = πr2h\u003Cbr>V = 22/7 x 82 x 15\u003Cbr>= 22/7 x (8 x 8) x 15\u003Cbr>= 22/7 x 64 x 15\u003Cbr>= 21,120/7\u003Cbr>V = 3017. 14cm3\u003Cbr>Therefore, the volume of the cylinder is 3017.14cubic centimeters.\u003Cbr>2) The volume of right circular cylinder is 4,400 cubic\u003Cbr>cm. If its height (h) is 14cm, what is its base radius (r)?\u003Cbr>SOLUTION\u003Cbr>h = 14cm\u003Cbr>Curved Surface area Axis\u003Cbr>Formula: V = πr2h, where π = 22/7 or 3. 14, r = ?, h = 14cm and V = 4,400cm3\u003Cbr>Substitute the values in the formula:\u003Cbr>V = πr2h\u003Cbr>4,400 = 22/7 x r2 x 14\u003Cbr>4,400 = 22 x r2 x 2\u003Cbr>4,400 = 44r2\u003Cbr>Divide both sides by 44\u003Cbr>4,400/44 = 44r2/44\u003Cbr>r2 = 100\u003Cbr>Taking the square root on both sides\u003Cbr>\u003Cbr>\u003Cbr> r2 =  100 V = 10cm |  |  |\n| --- | --- | --- | --- |\n\n\n|  | Therefore, its base radius (r) is 10cm.\u003Cbr>ii","cbCaign0YndJAkOO","https://ap.wps.com/l/cbCaign0YndJAkOO","pdf",337063,"English","# Lesson Development\n## Introduction\n## Step I: Volume of Cylinders\n## Step II: Volume of Cones\n## Step III: Applications and Examples\n## Evaluation\n## Conclusion\n## Assignment","[{\"question\":\"What formula is used to calculate the volume of a cylinder?\",\"answer\":\"The lesson uses V = πr²h, where r is the radius of the base and h is the height.\"},{\"question\":\"How is the formula for the volume of a cone derived?\",\"answer\":\"The cone volume is derived using the cone’s radius r and height h, giving V = (1/3)πr²h.\"},{\"question\":\"What do students do in Step III before the evaluation?\",\"answer\":\"Students work through examples that apply the derived volume formulas for both cylinders and cones, then answer evaluation questions.\"}]","Lesson Plan - Volume of Cylinders and Cones - Third Week | PDF",13]