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---
id: 5900f4aa1000cf542c50ffbc
challengeType: 5
title: 'Problem 317: Firecracker'
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forumTopicId: 301973
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---
## 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);
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```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler317() {
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return true;
}
euler317();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
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</section>