11:54◄ibisPaint XUnit Activity Mathem Xdimentum.com/courseware-delivery/ua/40436/45467925/aHR0cHM6Ly9mMiShcHuZWRIZW50WuY291L2xYXJZWtyOSubmit ForScoregenussiscCommentsHome: Occupational xpsychodynamic theory: XUnit Activity: Mathematical Models in Engineering and Ar6 of 9About 2,200 years ago, one of the most famous mathematicians in history made a major discovery. Themathematician was Archimedes, who was presented with a problem by King Hiero Il of Syracuse in Sicily.Save & ExitThe king had given a bar of gold to a jeweler and ordered him to make it into a crown. After receiving thecrown, the king suspected that the jeweler had replaced some of the gold with an equal weight of a cheapermetal like silver and kept the remainder of the gold for himself. The king had no way to determine whetherthis was true, so he gave the crown to Archimedes and asked him to devise a way to find out.At the time, Archimedes knew that gold was more dense than silver. So, if the volume of the crown wasgreater than the volume of a bar of gold, they would have proof that the jeweler had stolen some of the gold.However, Archimedes had no way to find the volume of an irregular shape like a crown.Archimedes struggled with this problem for a long time. One day, he went to take a bath. As he loweredhimself into the bath, he noticed that the water level rose. As he continued to lower himself into the water,the water level continued to rise. He was so excited at his discovery that he jumped out of the bath and,before he could remember to put his pants on, went running through the streets yelling "Eureka! Eureka!which in Greek means "Ive found it! I found it He now had a way to measure the volume of the irregularlyshaped crownIn Archimedes's case, the jeweler had indeed stolen gold from the king. This did not end well for the jeweler.Part AA key component to this story is that the jeweler deceptively replaced "an equal weight" (or equal mass)of gold with silver, How does this action result in increasing the volume of the crown? Explain using oneor more equationsB I ll v² x..Ⓒ 7 Dec 4 7:46 8 11:54◄ibisPaint XSpace used (includes formatting): 0/15000Part BWhat did Archimedes discover in the bath? Why was he so excited? Describe the discovery usinggeometric terms. What do you predict Archimedes did next with his new discoveries? Explain.AVENBIVX² X₂ 15pxVESpace used (includes formatting): 0/1500010Dec 47:46 8

Archimedes Principle:- Archimedes was a most famous mathematician and great inventor from greece.…

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Engineering

Mechanical Engineering

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Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter11: Heat Transfer By Radiation

Section: Chapter Questions

Problem 11.14P

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