Problem 42825. solid of revolution

Created by Thomas Bischoff

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<div style = "text-align: start; line-height: 20px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; "><div style="display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 31.5px; vertical-align: baseline; perspective-origin: 332px 31.5px; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 31.5px; white-space: pre-wrap; perspective-origin: 309px 31.5px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; "><span style="">Given an real polynomial P and two real numbers a,b with 0&lt;=a&lt;=b. Calculate the volume of the solid of revolution made by rotating P around the x-axis in the intervall [a,b]! Return the volume in multiples of pi!</span></span></div></div></div>

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Solution Stats

40 Solutions
22 Solvers

Last Solution submitted on Dec 30, 2020

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Rafael S.T. Vieira on 30 Jun 2020

Please, fix the asserts. Test case 4 was complaining about an error of 1.136868377216160e-13, which is very close to my machine precision. Unless we want people to use a specific method or technique, we shouldn't request an exact value.

goc3 on 29 Sep 2020

The test suite has been updated with a tolerance rather than requiring exact values.

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Problem Tags

math

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