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8.03 Module Eight Quiz

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by

Breanna Williams

on 6 May 2014

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Transcript of 8.03 Module Eight Quiz

Part 2
How many tennis balls can fit into the container if the containers dimensions were doubled?
The Penny Problem
-Each penny is 0.75 inches in diameter and 0.061 inches thick. The cylindrical glass jar has a diameter of 6 inches and a height of 11.5 inches. How many pennies will fit in the jar?
Tennis Trouble Prt. 1
Each tennis ball is 2.63 inches in diameter, figure out how many tennis balls will fit into the jar specially designed.
Giant Gum
Pharaoh chewing gum produced a new gum in the shape of a pyramid with a square base. Each piece of gum has a base of one inch and a height of 0.75 inches wile the glass sphere has a diameter of 17.25 inches. How many pieces of gum will fit into the sphere?
Questions:
For the Penny Problem, how much empty space should exist inside the jar after being filled to capacity with pennies? Why doesn't this amount of space actually exist in the jar? The empty space can be found by subtracting the vol of the pennies and the vol of the jar then i multiplied the number of pennies by the vol of 1 penny to get all the pennies together and that came out to 325.0014746 wile the vol of the jar is 325.99 so that would leave -0.00114746 of space.
Where does the formula for the volume of a cylinder derive from? Give an example and provide evidence to support your claim. The formula comes from the area of a circle.
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. The volume of a cone comes from the volume of a cylinder and both are calculated the same way and equal 1/3 of the base area times the height. For us to find the volume of a cylinder the area of the base has to be found then can be multiplied by the height
More Questions:
In Tennis Trouble, the container used for the challenge is labeled "A" in the image below. If the container’s shape was modified to look like container "B," what effect would it have on the capacity (volume) of the container if the dimensions remained unchanged? What theory or principle helps to prove your point? The A labeled one is a right cylinder and the B labeled one is a oblique cylinder, if the cylinder A was changed to look like B the volume would not be changed because they are both the same.
8.03 Module Eight Quiz
Vol. of the glass
Vol. of the glass
Divide the two volumes together
About 12,066 pennies can fit in the jar
Cylinder:
Height= 36 inches
Diameter= 13 inches
Cone:
Height= 8 inches
Diameter= 13 inches
Tennis Ball:
Diameter: 2.63 inches
About 539 tennis balls will fit in the container.
New cylinder:
Height= 72
Diameter= 26
New Cone:
Height= 16
Diameter= 26
Keep the same measurements
<--divide the volume
After you divide the volume then you will subtract the outcomes from part one and two.
Sphere:
Diameter = 17.25 inches
Gum:
Base = 1 inch
Height = 0.75 inches
10,745 Pieces of gum will fit into the sphere
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 as calculations and writing. I think a cube would be better than a sphere.
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