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[
{
"slide": 1,
"fragments": [
{
"fragment_index": -1,
"text_description": "Truck Tank Mystery",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "",
"image_description": "https://asset.sparkl.ac/pb/sparkl-vector-images/img_ncert/oUDTt3LnwItzuHjF8NSMQXkwff17YN077fsIHXJr.png"
},
{
"fragment_index": 2,
"text_description": "Spot the Shapes\nObserve this fuel truck on the road.\nIts tank combines a straight cylinder and two perfectly matching hemispheres.\nRecognising this composite solid helps us calculate how much metal covers it.",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "Key Points:\nReal-world example: fuel truck tank\nShapes recognised: 1 cylinder + 2 hemispheres\nAim: find total outer surface area",
"image_description": ""
}
]
},
{
"slide": 2,
"fragments": [
{
"fragment_index": 1,
"text_description": "What is a Composite Solid?",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Composite Solid",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "A three-dimensional figure formed by joining two or more basic solids so that some of their faces become internal and disappear from view.",
"image_description": ""
}
]
},
{
"slide": 3,
"fragments": [
{
"fragment_index": -1,
"text_description": "Surface Area Game-Plan\nFollow these checkpoints to avoid double-counting and reveal every exposed face.",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "1\nDecompose & Sketch\nDraw the composite figure and label each basic solid clearly.",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "2\nHighlight Exposed Faces\nShade only faces visible after joining; ignore internal contact areas.",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "3\nWrite Area Formulae\nList the correct formula for each highlighted face with its dimensions.",
"image_description": ""
},
{
"fragment_index": 4,
"text_description": "4\nAdjust for Overlaps\nSubtract hidden or common areas, or add extra caps, to prevent double-counting.",
"image_description": ""
},
{
"fragment_index": 5,
"text_description": "5\nSum & State Units\nAdd all adjusted areas and write the answer with correct units, e.g., cm\n2\n.",
"image_description": ""
},
{
"fragment_index": 6,
"text_description": "Pro Tip:\nWrite a short note explaining every subtraction—examiners award marks for the reasoning.",
"image_description": ""
}
]
},
{
"slide": 4,
"fragments": [
{
"fragment_index": -1,
"text_description": "Capsule Formula",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "\\[TSA = 2\\pi r h + 4\\pi r^{2} = 2\\pi r (h + 2r)\\]\nAdd the curved area of the cylinder \\(2\\pi r h\\) to the surface of two hemispheres \\(4\\pi r^{2}\\).",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Variable Definitions\n\\(r\\)\nCommon radius of cylinder and hemispheres\n\\(h\\)\nHeight of cylindrical part only\n\\(TSA\\)\nTotal surface area of the capsule",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "Applications\nMedicine Capsules\nDesigning gelatin shells for pills uses this formula.\nStorage Tanks\nLPG and compressed-air vessels often have hemispherical ends.\nSubmersibles\nPressure-resistant crew modules combine cylindrical and hemispherical sections.",
"image_description": ""
}
]
},
{
"slide": 5,
"fragments": [
{
"fragment_index": -1,
"text_description": "Play with Dimensions",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "Capsule Surface Explorer",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Drag the sliders for radius \\(r\\) and height \\(h\\). Watch the capsule sketch, numbers, and bar chart change instantly. Observe how boosting \\(r\\) raises both hemispheres and cylinder area, while increasing \\(h\\) affects only the cylinder. Use these visuals to predict the total surface area.\nChallenge: adjust \\(r\\) and \\(h\\) until the hemispheres make 60 % of the total surface area.",
"image_description": ""
}
]
},
{
"slide": 6,
"fragments": [
{
"fragment_index": -1,
"text_description": "Worked Example",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "Cone-hemisphere toy",
"image_description": "https://asset.sparkl.ac/pb/sparkl-vector-images/img_ncert/JcnV2CVczVI4kM1STJoJKUc8Fr0x7R05VWupMknm.png"
},
{
"fragment_index": 2,
"text_description": "Example: Cone + Hemisphere Surface Area\nA spinning top is formed by fixing a cone of radius 3 cm and slant height 5 cm on a hemisphere of the same radius.\nFind the curved surface area to be polished using \\( \\text{CSA} = \\pi r l + 2\\pi r^{2} \\). Apply the procedure for a cone-hemisphere combination.",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "Key Steps:\nIdentify common radius \\( r = 3\\text{ cm} \\).\nCone area \\( = \\pi r l = \\pi \\times 3 \\times 5 \\,\\text{cm}^2 \\).\nHemisphere area \\( = 2\\pi r^{2} = 2\\pi \\times 3^{2} \\,\\text{cm}^2 \\).\nAdd the two results for total curved surface area.",
"image_description": ""
}
]
},
{
"slide": 7,
"fragments": [
{
"fragment_index": -1,
"text_description": "Multiple Choice Question\nCorrect!\nOnly the curved parts are exposed. Both circular faces are either joined or kept unpainted.\nIncorrect\nRe-check which circular faces are actually visible once the two solids are combined and placed on a table.\nconst correctOption = 0;\n const answerCards = document.querySelectorAll('.answer-card');\n const submitBtn = document.getElementById('slide-08-k3h9bm-submitBtn');\n const feedbackCorrect = document.getElementById('slide-08-k3h9bm-feedbackCorrect');\n const feedbackIncorrect = document.getElementById('slide-08-k3h9bm-feedbackIncorrect');\n \n let selectedOption = null;\n \n answerCards.forEach((card, index) => {\n card.addEventListener('click', () => {\n answerCards.forEach(c => c.classList.remove('border-blue-500', 'bg-blue-50'));\n card.classList.add('border-blue-500', 'bg-blue-50');\n selectedOption = index;\n });\n });\n \n submitBtn.addEventListener('click', () => {\n if (selectedOption === null) return;\n \n if (selectedOption === correctOption) {\n feedbackCorrect.classList.remove('hidden');\n feedbackIncorrect.classList.add('hidden');\n } else {\n feedbackIncorrect.classList.remove('hidden');\n feedbackCorrect.classList.add('hidden');\n }\n });",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "Question\nA solid toy is made by mounting a hemisphere of radius 7 cm on top of a right circular cylinder of the same radius and height 15 cm. You need to paint all the outer surfaces except the circular base of the cylinder. Which areas must be added to get the required surface area?",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "1\nCurved surface area of cylinder + curved surface area of hemisphere",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "2\nCurved surface area of cylinder + total surface area of hemisphere",
"image_description": ""
},
{
"fragment_index": 4,
"text_description": "3\nTotal surface area of cylinder + total surface area of hemisphere",
"image_description": ""
},
{
"fragment_index": 5,
"text_description": "4\nCurved surface area of cylinder only",
"image_description": ""
},
{
"fragment_index": 6,
"text_description": "Hint:\nIgnore any circular face that gets covered or stays unpainted.",
"image_description": ""
},
{
"fragment_index": 7,
"text_description": "Submit Answer",
"image_description": ""
}
]
},
{
"slide": 8,
"fragments": [
{
"fragment_index": -1,
"text_description": "Key Takeaways\nThank You!\nWe hope you found this lesson informative and engaging.",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "Recap: Surface area of a composite solid = sum of all visible faces.",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "First mark faces that disappear where solids join.",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "Apply standard formulas for each visible part (cube, cylinder, sphere, …).",
"image_description": ""
},
{
"fragment_index": 4,
"text_description": "Add the areas and state the answer with correct units.",
"image_description": ""
}
]
}
]