49 lines
1.1 KiB
Markdown
49 lines
1.1 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: b2x2 + b2y2 + a2z2 = a2b2.
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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. If a=1 mm and b=1 mm, the amount of chocolate required is
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283 π mm3
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<!-- TODO Use MathJax -->
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If a=2 mm and b=1 mm, the amount of chocolate required is approximately 60.35475635 mm3.
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Find the amount of chocolate in mm3 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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`euler449()` should return 103.37870096.
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```js
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assert.strictEqual(euler449(), 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 euler449() {
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return true;
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}
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euler449();
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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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