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{
"url": "https://numbas.mathcentre.ac.uk/api/questions/294/?format=api",
"name": "Volume of revolution 1",
"published": true,
"project": "https://numbas.mathcentre.ac.uk/api/projects/3/?format=api",
"author": {
"url": "https://numbas.mathcentre.ac.uk/api/users/6/?format=api",
"profile": "https://numbas.mathcentre.ac.uk/accounts/profile/6/?format=api",
"full_name": "Bill Foster",
"pk": 6,
"avatar": null
},
"edit": "https://numbas.mathcentre.ac.uk/question/294/volume-of-revolution-1/?format=api",
"preview": "https://numbas.mathcentre.ac.uk/question/294/volume-of-revolution-1/preview/?format=api",
"download": "https://numbas.mathcentre.ac.uk/question/294/volume-of-revolution-1.zip?format=api",
"source": "https://numbas.mathcentre.ac.uk/question/294/volume-of-revolution-1.exam?format=api",
"metadata": {
"notes": "\n \t\t<p><strong>3/07/2012:</strong></p>\n \t\t <p>Added tags.</p>\n \t\t <p>Checked calculations.</p>\n \t\t <p>Improved display of statement, prompt and Advice. </p>\n \t\t <p>Wanted to put the Hint into Show steps - but cannot create Steps at present.</p>\n \t\t <p>No tolerance allowed. Must be exact to three decimal places.</p>\n \t\t <p>Note the use of $\\cos(x)^2$ instead of the standard $\\cos^2(x)$ as best to be consistent as we cannot use $\\cos^2(x)$ if any jme calculation is involved.</p>\n \t\t <p><strong>20/07/2012:</strong></p>\n \t\t <p>Added description.</p>\n \t\t <p>Added Show steps hint.</p>\n \t\t <p>Checked description.</p>\n \t\t <p>Perhaps the tolerance should be 1, not 0.001 given the magnitude of the answer.</p>\n \t\t <p></p>\n \t\t <p><strong>25/07/2012:</strong></p>\n \t\t <p> </p>\n \t\t <p>Added tags.</p>\n \t\t <p> </p>\n \t\t <p>Question appears to be working correctly.</p>\n \t\t <p> </p>\n \t\t",
"description": "<p>Rotate $y=a(\\cos(x)+b)$ by $2\\pi$ radians about the $x$-axis between $x=c\\pi$ and $x=(c+2)\\pi$. Find the volume of revolution.</p>",
"licence": "Creative Commons Attribution 4.0 International"
},
"status": null,
"resources": []
}