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{
"url": "https://numbas.mathcentre.ac.uk/api/questions/295/?format=api",
"name": "Volume of revolution 2",
"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/295/volume-of-revolution-2/?format=api",
"preview": "https://numbas.mathcentre.ac.uk/question/295/volume-of-revolution-2/preview/?format=api",
"download": "https://numbas.mathcentre.ac.uk/question/295/volume-of-revolution-2.zip?format=api",
"source": "https://numbas.mathcentre.ac.uk/question/295/volume-of-revolution-2.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>Improved display in statement and prompts, and Advice.</p>\n \t\t <p>No tolerance allowed in second part answer. Set new tolerance variable tol=0.</p>\n \t\t <p>Checked calculation.</p>\n \t\t <p><strong>20/07/2012:</strong></p>\n \t\t <p>Added description.</p>\n \t\t <p>Changed question format to hopefully make it clear that it is the multiple of $\\pi$ wanted.</p>\n \t\t <p>Checked calculation again.</p>\n \t\t <p>Should have a diagram of the volume - or a schematic version of revolving a function about the $y$-axis.</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>In the Advice section moved \\Rightarrow so that it is at the beginning of the line instead of the end of the previous line.</p>\n \t\t <p> </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 the graph of $y=a\\ln(bx)$ by $2\\pi$ radians about the $y$-axis between $y=c$ and $y=d$. Find the volume of revolution.</p>",
"licence": "Creative Commons Attribution 4.0 International"
},
"status": null,
"resources": []
}