// Numbas version: exam_results_page_options
{"name": "Volume & Surface Area of Cylinder (with formulae)", "extensions": [], "custom_part_types": [], "resources": [["images/Cuboid.png", "/srv/numbas/media/images/Cuboid.png"], ["images/Triangular-prism.png", "/srv/numbas/media/images/Triangular-prism.png"], ["images/Cylinder.png", "/srv/numbas/media/images/Cylinder.png"], ["images/Hemisphere.png", "/srv/numbas/media/images/Hemisphere.png"], ["images/Frustrum.png", "/srv/numbas/media/images/Frustrum.png"], ["images/Frustrumtop.png", "/srv/numbas/media/images/Frustrumtop.png"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"scripts": {}, "variableReplacements": [], "marks": 0, "gaps": [{"variableReplacementStrategy": "originalfirst", "minValue": "6.28*{c}*({a}+{c}+5)-0.1", "maxValue": "2*pi*{c}*({a}+{c}+5)+0.1", "variableReplacements": [], "marks": "1", "scripts": {}, "showCorrectAnswer": true, "showPrecisionHint": false, "allowFractions": false, "correctAnswerFraction": false, "type": "numberentry"}, {"variableReplacementStrategy": "originalfirst", "minValue": "3.14*{c}^2*({a}+5)-0.1", "maxValue": "pi*{c}^2*({a}+5)+0.1", "variableReplacements": [], "marks": "1", "scripts": {}, "showCorrectAnswer": true, "showPrecisionHint": false, "allowFractions": false, "correctAnswerFraction": false, "type": "numberentry"}], "showCorrectAnswer": true, "prompt": "<p><img src=\"resources/images/Cylinder.png\" align=\"right\" width=\"400\"/></p>\n<p>A cylinder with diameter&nbsp;$\\var{2c}$cm and length $\\var{a+5}$cm.</p>\n<p>Surface area: [[0]] cm$^2$</p>\n<p>Volume: [[1]] cm$^3$</p>", "variableReplacementStrategy": "originalfirst", "type": "gapfill"}], "functions": {}, "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"js": "", "css": ""}, "variables": {"b": {"name": "b", "templateType": "anything", "description": "", "definition": "random(1..6)", "group": "Ungrouped variables"}, "r": {"name": "r", "templateType": "anything", "description": "", "definition": "(d-1.1)/2", "group": "Ungrouped variables"}, "d": {"name": "d", "templateType": "anything", "description": "", "definition": "random(5..12 #0.1)", "group": "Ungrouped variables"}, "a": {"name": "a", "templateType": "anything", "description": "", "definition": "random(b+1..10)", "group": "Ungrouped variables"}, "hyp": {"name": "hyp", "templateType": "anything", "description": "", "definition": "sqrt((b+2)^2+(c-1)^2)", "group": "Ungrouped variables"}, "c": {"name": "c", "templateType": "anything", "description": "", "definition": "random(b+1..10 except a)", "group": "Ungrouped variables"}, "l": {"name": "l", "templateType": "anything", "description": "", "definition": "sqrt((2b+8)^2+r^2)", "group": "Ungrouped variables"}}, "name": "Volume & Surface Area of Cylinder (with formulae)", "advice": "<p>Note that the question gives you the diameter not the radius.</p>\n<p>Make sure that you enter the correct calculation into your calculator.</p>\n<p></p>", "type": "question", "variable_groups": [], "extensions": [], "statement": "<p>If $r$ is the radius of the circular end, and $h$ the height (or length) of a solid cylinder then the formulae for the volume, $V$, and surface area, $S$, are:</p>\n<p>$V=\\pi r^2h$</p>\n<p>$S= 2 \\pi r^2 + 2 \\pi rh$.</p>\n<p><strong>Calculate the&nbsp;volume and surface area of the solid cylinder shown below.</strong></p>\n<p>Give your answers correct to 2 decimal places.</p>", "showQuestionGroupNames": false, "metadata": {"description": "<p>Finding surface area and volume, given formulae.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "question_groups": [{"name": "", "questions": [], "pickingStrategy": "all-ordered", "pickQuestions": 0}], "tags": [], "ungrouped_variables": ["a", "c", "b", "d", "l", "hyp", "r"], "rulesets": {}, "contributors": [{"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}]}]}], "contributors": [{"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}]}