// Numbas version: exam_results_page_options
{"name": "Kwame's copy of Volume and Surface Area of Sphere", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"preamble": {"css": "", "js": ""}, "variablesTest": {"maxRuns": 100, "condition": ""}, "ungrouped_variables": ["rord", "r", "a", "vol", "sa"], "tags": ["sphere", "surface area", "volume"], "type": "question", "showQuestionGroupNames": false, "variables": {"vol": {"group": "Ungrouped variables", "name": "vol", "definition": "pi*4/3*r^3", "description": "", "templateType": "anything"}, "sa": {"group": "Ungrouped variables", "name": "sa", "definition": "pi*4*r^2", "description": "", "templateType": "anything"}, "a": {"group": "Ungrouped variables", "name": "a", "definition": "random(2..15 #0.5)", "description": "", "templateType": "anything"}, "r": {"group": "Ungrouped variables", "name": "r", "definition": "If(rord= 'radius', a, a/2)\n", "description": "", "templateType": "anything"}, "rord": {"group": "Ungrouped variables", "name": "rord", "definition": "random('radius', 'diameter')", "description": "", "templateType": "anything"}}, "rulesets": {}, "parts": [{"scripts": {}, "showCorrectAnswer": true, "type": "gapfill", "marks": 0, "prompt": "<p>Volume is&nbsp; [[0]] cm<sup>3&nbsp;</sup> </p>\n<p><sup></sup></p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "gaps": [{"type": "numberentry", "strictPrecision": false, "minValue": "{vol}", "maxValue": "{vol}", "precisionType": "dp", "correctAnswerFraction": false, "precisionPartialCredit": 0, "showCorrectAnswer": true, "marks": 1, "precision": "1", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false, "variableReplacements": [], "scripts": {}}]}, {"scripts": {}, "showCorrectAnswer": true, "type": "gapfill", "marks": 0, "prompt": "<p>Surface area is&nbsp; [[0]]&nbsp; cm<sup>2</sup></p>\n<p><sup></sup></p>", "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "gaps": [{"type": "numberentry", "strictPrecision": true, "minValue": "{sa}", "maxValue": "{sa}", "precisionType": "dp", "correctAnswerFraction": false, "precisionPartialCredit": 0, "showCorrectAnswer": true, "marks": 1, "precision": "1", "precisionMessage": "You have not given your answer to the correct precision.", "allowFractions": false, "variableReplacementStrategy": "originalfirst", "showPrecisionHint": false, "variableReplacements": [], "scripts": {}}]}], "functions": {}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Recall and use of formulae for volume and surface area of a sphere.</p>"}, "extensions": [], "name": "Kwame's copy of Volume and Surface Area of Sphere", "statement": "<p>A sphere has a {rord} of {a} cm.</p>\n<p>Find its volume and surface area, rounding your answers to 1 d. p.</p>\n<p><em>Use the $\\pi$ button on your calculator or the value&nbsp; $\\pi= 3.142$</em></p>", "question_groups": [{"name": "", "questions": [], "pickingStrategy": "all-ordered", "pickQuestions": 0}], "advice": "<p>Recall that the volume, $V$, of a sphere is given by the formula $ V = \\dfrac { 4}{3}\\pi r^3$ where $r$ is the <strong>radius</strong>.</p>\n<p>The surface area, $S$, is given by $S = 4 \\pi r^2$.</p>", "variable_groups": [], "contributors": [{"name": "Kwame D Dwamena", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/81/"}, {"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}]}]}], "contributors": [{"name": "Kwame D Dwamena", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/81/"}, {"name": "Paul Howes", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/632/"}]}