---
id: 5900f4aa1000cf542c50ffbc
challengeType: 5
title: 'Problem 317: Firecracker'
---
## 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.
## Instructions
## Tests
```yml
tests:
- text: euler317() should return 1856532.8455.
testString: assert.strictEqual(euler317(), 1856532.8455, 'euler317() should return 1856532.8455.');
```
## Challenge Seed
```js
function euler317() {
// Good luck!
return true;
}
euler317();
```