a2b2ef3f75
* fix: clean-up Project Euler 441-460 * fix: corrections from review Co-authored-by: Tom <20648924+moT01@users.noreply.github.com> Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
47 lines
1.2 KiB
Markdown
47 lines
1.2 KiB
Markdown
---
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id: 5900f52d1000cf542c510040
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title: 'Problem 449: Chocolate covered candy'
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challengeType: 5
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forumTopicId: 302121
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dashedName: problem-449-chocolate-covered-candy
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---
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# --description--
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Phil the confectioner is making a new batch of chocolate covered candy. Each candy centre is shaped like an ellipsoid of revolution defined by the equation: $b^2x^2 + b^2y^2 + a^2z^2 = a^2b^2$.
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Phil wants to know how much chocolate is needed to cover one candy centre with a uniform coat of chocolate one millimeter thick.
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If $a = 1$ mm and $b = 1$ mm, the amount of chocolate required is $\frac{28}{3} \pi$ mm<sup>3</sup>
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If $a = 2$ mm and $b = 1$ mm, the amount of chocolate required is approximately 60.35475635 mm<sup>3</sup>.
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Find the amount of chocolate in mm<sup>3</sup> required if $a = 3$ mm and $b = 1$ mm. Give your answer as the number rounded to 8 decimal places behind the decimal point.
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# --hints--
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`chocolateCoveredCandy()` should return `103.37870096`.
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```js
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assert.strictEqual(chocolateCoveredCandy(), 103.37870096);
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```
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# --seed--
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## --seed-contents--
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```js
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function chocolateCoveredCandy() {
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return true;
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}
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chocolateCoveredCandy();
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```
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# --solutions--
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```js
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// solution required
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```
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