Problem 1315. Volume of a sphere given its surface area

Created by Mário

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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 10.5px; vertical-align: baseline; perspective-origin: 332px 10.5px; "><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 10.5px; white-space: pre-wrap; perspective-origin: 309px 10.5px; 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="">You just measured its surface area, that is the input.</span></span></div></div></div>

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Solution Stats

460 Solutions
125 Solvers

Last Solution submitted on Jul 15, 2022

Last 200 Solutions

Problem Comments

5 Comments

5 Comments

Show 2 older comments

Claudio Gelmi on 4 Mar 2013

Needs more Test Cases...

Selvaraaju Murugesan on 4 Mar 2013

Please add more test cases !

Jean-Marie Sainthillier on 11 Mar 2013

Problem with the precision.

Rafael S.T. Vieira on 13 Aug 2020

I've solved the problem with precision by simplifying the formula. However, the test suite should have some tolerance nonetheless.

goc3 on 29 Sep 2020

Tolerance has been added to the test suite, along with additional cases.

Solution Comments

Solution 218010

1 Comment

1 Comment

Carlos on 16 Mar 2013

I had to calculate by hand the case for x = 36 pi. Once I simplified the expression, I added a condition for this case. Otherwise, (I guess due to machine error) I wouldn't get it right even though I had the correct code.

Solution 216222

1 Comment

1 Comment

Michael on 12 Mar 2013

If surface is 36*pi, then volume is (4/3)*pi*(sqrt(36*pi/4/pi))^3

This is math. If one answer is right, they should all be right.

Is this a roundoff question?

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