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

# --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.

# --hints--

`euler449()` should return 103.37870096.

```js
assert.strictEqual(euler449(), 103.37870096);
```

# --seed--

## --seed-contents--

```js
function euler449() {

  return true;
}

euler449();
```

# --solutions--

```js
// solution required
```