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Unit 6.03 Lab

Submitted By
Words 647
Pages 3
Answer-
12,065 pennies will fit inside the jar because that is the amount of balls that would be a whole.
Volume of Penny:
V=(3.14)R^2H
V=(3.14)(0.375)^2(0.061)
V=0.0269353125
Volume of Jar:
V=(3.14)R^2H
V=(3.14)(3)^2(11.5)
V=324.99
324.99 / 0.0269353125
= 12,065.57

Answer-
There would be 539 tennis balls that will fit in the container.

Volume of Tennis Ball
V=(3.14)R^2H
V=(3.14)(42.25)(36)
V=9.525019

Volume of Cone
V=1/3(3.14)R^2H
V=1/3(3.14)(42.25)(8)
V=1/3(3.14)(338)
V=1,061.8583/3
V=353.9527723

Volume of Cylinder
V=4/3(3.14)R^3
V=4/3(3.14)(1.315)^3
V=4/3(7.1437645)
V=4,7775.94

4,7775.94+353.9527723=5,142.31519841
5,142.31519841 / 9.525019=539.8745344665454

The container could hold 3,772 more than the original if it were doubled. …show more content…
The empty space in the jar can be found by subtracting the volume of the pennies from the volume of the jar. The volume of each penny is 0.026935312 and there are a total of 12,065.57 pennies, so multiply the pennies by the volume of one penny and find the volume of all the pennies together, which is 324.987578184. The volume of the jar is 324.99. There really isn't much empty space left, because it only equals 0.0024241816.

#2.
The formula of the volume of a cylinder comes from the formula of the area of a circle. When you find the area of a circle, the formula is A=(3.14)R^2. In the formula of a cylinder to find the volume, you have to find the area of the base and multiply it by the height first. An example would be to do what we just did to find the amount of gum in the sphere.

#3.
The volume of a cone derives from the volume of a cylinder. Both formulas are calculated the same way and are equaled to 1/3 of the base area times the height of the figure. The formula of the volume of a cone is V = 1/3 (B) (H). The area of the base of a cone is found using the formula of area of a circle, since the base is the shape of a circle. The area formula of a circle is (3.14)R^2. In order to find the volume of a cylinder, the area of the base must be found and then the amount of that can be multiplied by the height. Each formula is used to help the …show more content…
Figure A is a right cylinder, because the height and altitude can be drawn out to connect the centers of the circle bases. Figure B is an oblique cylinder because it don't have height or altitude, and it can't be drawn to connect the centers of the circle bases. If the shape of A was changed to look like B , I don't think the volume would change. The reason why, is because both figures appear to be the same. Figure A shows the height and diameter, while figure B shows an irregular shaped cylinder without measurements. In the lesson, the principle that would support this is Cavalier's Principle. There were two piles of pennies and both were the same height, radius, diameter, and there were the same amount, both still had the same volume even though one was not set up right. In Cavalier's Principle, if the area of the cross sections of two 3-D figures are congruent and the height of the figures are also congruent, then it can be concluded that the volumes of the two figures are congruent. If A was changed to look like B, the volume would be the same because the dimensions would not be

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