Physical and chemical changes Essay Example for Free

Physical and chemical changes Essay contend 1 The Penny ProblemThe introductory challenge to complete is the Penny Problem. The radio berth is giving the winner of this challenge a plundering pack that includes tickets to see his or her favorite band in concert. To start off the challenge, the radio station has described pennies in a cylindrical glass raise up. Each penny is 0.75 inches in diameter and 0.061 inches thick. If the cylindrical glass stupor containing the pennies has a diameter of 6 inches and a height of 11.5 inches, how many pennies can perish inside the jar? You mustiness show all work to dupe credit. So early I want to fine what the account book of the jar is so I am difference to use orCubed inches this instant we know how much space we have inside the jar.Now we have to think the lot of the pennies.Now you will divide 325 by .33 and we find that there is a total of 985 pennies in the jar.Challenge 2 lawn tennis TroubleNow its time to move on to the second challenge called Tennis Trouble. The second challenge is to figure out how many tennis balls fit(p) in a in particular designed container. The radio station will give away a prize pack and a pair of front row tickets to the winner of this challenge Each tennis ball is 2.63 inches in diameter. A sketch of the specially designed container is below. How many tennis balls can fit inside the container? How many more than tennis balls could fit into the container if the containers dimensions are doubled? You must show all work to receive credit.In recount to find the mountain of this container we are going to have to use two formulas. The first formula will be so we can find the flashiness of the cylinder.Now we have to find the volume of the coneAnd after doing that I find thatNow all we have to do is play the two together and we will know the volume ofthe container.Now we have to find the volume of the tennis balls. In order to find the volume of a tennis ball we ha ve to find the region of it.After doing that I am going to divide 87.9 from 5.43 to find how many tennis balls will fit into the container.So a total of 16 tennis balls would fit into the container. If the containers dimensions were doubled then the number of tennis balls would have probably doubled.Challenge 3 Giant GumThe Pharaoh Chewing Gum Company has obstinate to sponsor an additional prize in the radio stations contest. They are giving away annexe passes for the concert Pharaoh Chewing Gum manufactures a new harvest-feast they are trying to promote. The new product is a pyramid- influence put on with a square base. In the spirit of the new(prenominal) challenges, the company has decided to place their pyramid- cause glue inside a clear glass giant bubble-gum shaped sphere. Each piece of gum has a base measurement of 1 inch and a height of 0.75 inches. The glass sphere container has a diameter of 17.25 inches. How many pieces of Pharaoh Chewing Gum can fit inside the gl ass sphere? You must show all work to receive credit. Now to find the volume of the sphere we are going to useSo the volume of the sphere is 51.8 inchesFinally we have to find the volume of the pyramid gum.Now we go ahead and divide them by each other and find that a total of 207 pieces of gum fit into the sphere.Answering the Questions.1. For the Penny Problem, how much empty space should exist inside the jar after being filled to capacity with pennies? Why doesnt this amount of space actually exist in the jar? There should only be enough room for there to be about 3 or 4 more pennys but you would not be able to put them into the jar because the pennies are going everywhere and they jar is not made to form around the pennies.2. Where does the formula for the volume of a cylinder derive from? Give an example and provide evidence to support yourclaim. It derives from the formula of flying field of a circle the only difference among them is for the cylinder you have to what the heig ht is in order to use the formula.3. In the Tennis Challenge, a cone was used for calculations, and in Giant Gum, the formula for the volume of a pyramid was needed. Pick either the formula for the volume of a cone or the volume of a pyramid and explain where the formula you chose derives from? Give an example and provide evidence to support your claim.This comparability is almost like the formula for the area of a circle crossed with the area of a triangle. The differences between them are that for a circle you dont have to find the height and you dont have a fraction and for a triangle you dont use pie and dont use the radius and the fraction is not 1/3 it is .4. In Tennis Trouble, the container used for the challenge is labeled A in the image below. If the containers shape was modified to look like container B, what stamp would it have on the capacity (volume) of the container if the dimensions remained unchanged? What theory or principle helps to prove your point? zilch becaus e they amount of space has not changed just the way it looks has and the theory that supports this is cavallies principle. 5. In Giant Gum, the gum is shaped like a pyramid. What shape do you think would best fit into the container (choose a shape other than a pyramid). Explain why the shape you chose was better and back up your answer with proof such(prenominal) as calculations and writing.I would thing that balls would best fit into the container because it is shaped as a ball. Also if they were shaped as a ball there wouldnt have been that much space left in the sphere.