needimprovement Posted August 5, 2010 Posted August 5, 2010 The Work Instruction sez: 1) Drill a 6" long cylindrical hole through a solid steel sphere. What's the weight of the part?
needimprovement Posted August 5, 2010 Author Posted August 5, 2010 There is not enough information to answer. http://www.daviddarling.info/encyclopedia/H/hole-through-a-sphere_problem.html and then take into account the density of steel.
Mr Skeptic Posted August 5, 2010 Posted August 5, 2010 Still not enough info. The hole is through the center of the sphere, yes?
Sisyphus Posted August 5, 2010 Posted August 5, 2010 What's the "work instruction?" Is this homework? It depends on how you're measuring how long the hole is - how surface to surface on the original sphere, or surface to surface on the remainder. Since you only have enough information to answer if it's the latter, then go with that. And the hint is: think about what the remainder looks like as the original sphere gets smaller and the hole gets narrower.
needimprovement Posted August 6, 2010 Author Posted August 6, 2010 Still not enough info. The hole is through the center of the sphere, yes? No prob. It is simple math. Here isone way and here is another. But there is a short solution for that. Try to find out.
Klaynos Posted August 6, 2010 Posted August 6, 2010 information is assumed in the solution that is not given in the question.
Mr Skeptic Posted August 6, 2010 Posted August 6, 2010 No prob. It is simple math. Here isone way and here is another. But there is a short solution for that. Try to find out. Here's a more accurate description of the problem (yours didn't specify whether the hole was through the center nor what was 6 inches): A sphere has a cylindrical hole drilled right through its center. The hole is six inches long -- that is, from one point on one edge of the hole to the closest point on the other edge is a distance of six inches. What is the volume of the remaining part of the sphere outside the hole? It may sound like you don't have enough information to solve this puzzle, but you do.
needimprovement Posted August 8, 2010 Author Posted August 8, 2010 Here's a more accurate description of the problem (yours didn't specify whether the hole was through the center nor what was 6 inches): A sphere has a cylindrical hole drilled right through its center. The hole is six inches long -- that is, from one point on one edge of the hole to the closest point on the other edge is a distance of six inches. What is the volume of the remaining part of the sphere outside the hole? It may sound like you don't have enough information to solve this puzzle, but you do. Or the thread title/question should be changed to "What's the weight of a solid steel sphere with a 6" long cylindrical hole through?". Thank you, Mr Skeptic.
Guest mabil Posted August 10, 2010 Posted August 10, 2010 Hmm... is the question complete? I mean.. can't get it thoroughly..
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