data/problems/317.yml from yaworsw/euler-manager

data/problems/317.yml

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---
:id: 317
:name: Firecracker
:url: https://projecteuler.net/problem=317
:content: |+
  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/s<sup>2</sup>.

  Find the volume (in m<sup>3</sup>) of the region through which the fragments move before reaching the ground. Give your answer rounded to four decimal places.