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---
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.
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Find the volume (in m3) of the region through which the fragments move before reaching the ground.
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Give your answer rounded to four decimal places.
< / section >
## Instructions
< section id = 'instructions' >
< / section >
## Tests
< section id = 'tests' >
```yml
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tests:
- text: < code > euler317()</ code > should return 1856532.8455.
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testString: assert.strictEqual(euler317(), 1856532.8455, '< code > euler317()< / code > should return 1856532.8455.');
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```
< / 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 >