---
id: 5900f4aa1000cf542c50ffbc
challengeType: 5
title: 'Problem 317: Firecracker'
---

## Description
<section id='description'>
A firecracker explodes at a height of 100 m above level ground. It breaks into a large number of very small fragments, which move in every direction; all of them have the same initial velocity of 20 m/s.


We assume that the fragments move without air resistance, in a uniform gravitational field with g=9.81 m/s2.


Find the volume (in m3) of the region through which the fragments move before reaching the ground.
Give your answer rounded to four decimal places.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler317()</code> should return 1856532.8455.
    testString: assert.strictEqual(euler317(), 1856532.8455, '<code>euler317()</code> should return 1856532.8455.');

```

</section>

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

<div id='js-seed'>

```js
function euler317() {
  // Good luck!
  return true;
}

euler317();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>