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							|  |  |  | id: 5900f44b1000cf542c50ff5d | 
					
						
							|  |  |  | title: 'Problem 222: Sphere Packing' | 
					
						
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										 |  |  | challengeType: 5 | 
					
						
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										 |  |  | forumTopicId: 301865 | 
					
						
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										 |  |  | dashedName: problem-222-sphere-packing | 
					
						
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										 |  |  | # --description--
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										 |  |  | What is the length of the shortest pipe, of internal radius 50mm, that can fully contain 21 balls of radii 30mm, 31mm, ..., 50mm? | 
					
						
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							|  |  |  | Give your answer in micrometres (10-6 m) rounded to the nearest integer. | 
					
						
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										 |  |  | # --hints--
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										 |  |  | `euler222()` should return 1590933. | 
					
						
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										 |  |  | ```js | 
					
						
							|  |  |  | assert.strictEqual(euler222(), 1590933); | 
					
						
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										 |  |  | ``` | 
					
						
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										 |  |  | # --seed--
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										 |  |  | ## --seed-contents--
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							|  |  |  | ```js | 
					
						
							|  |  |  | function euler222() { | 
					
						
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										 |  |  |   return true; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | euler222(); | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | # --solutions--
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							|  |  |  | ```js | 
					
						
							|  |  |  | // solution required | 
					
						
							|  |  |  | ``` |