68 lines
1.3 KiB
Markdown
68 lines
1.3 KiB
Markdown
---
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id: 5900f52d1000cf542c510040
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challengeType: 5
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title: 'Problem 449: Chocolate covered candy'
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---
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## Description
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<section id='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.
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If a=1 mm and b=1 mm, the amount of chocolate required is
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283
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π mm3
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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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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler449()</code> should return 103.37870096.
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testString: 'assert.strictEqual(euler449(), 103.37870096, "<code>euler449()</code> should return 103.37870096.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler449() {
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// Good luck!
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return true;
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}
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euler449();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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