---
id: 5900f52d1000cf542c510040
challengeType: 5
title: 'Problem 449: Chocolate covered candy'
forumTopicId: 302121
---

## Description
<section id='description'>

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.


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

283
π mm3
<!-- TODO Use MathJax -->

If a=2 mm and b=1 mm, the amount of chocolate required is approximately 60.35475635 mm3.


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.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler449()</code> should return 103.37870096.
    testString: assert.strictEqual(euler449(), 103.37870096);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler449() {
  // Good luck!
  return true;
}

euler449();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>