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---
id: 5900f4aa1000cf542c50ffbc
title: 'Problem 317: Firecracker'
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challengeType: 5
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forumTopicId: 301973
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dashedName: problem-317-firecracker
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---
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# --description--
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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 $\frac{\text{m}}{\text{s}}$.
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We assume that the fragments move without air resistance, in a uniform gravitational field with $g=9.81 \frac{\text{m}}{\text{s}^2}$.
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Find the volume (in $\text{m}^3$) of the region through which the fragments move before reaching the ground. Give your answer rounded to four decimal places.
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# --hints--
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`firecracker()` should return `1856532.8455` .
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```js
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assert.strictEqual(firecracker(), 1856532.8455);
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```
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# --seed--
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## --seed-contents--
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```js
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function firecracker() {
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return true;
}
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firecracker();
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```
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# --solutions--
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```js
// solution required
```
