physical and chemical changes
Challenge #1 — The Penny Problem:
The first challenge to complete is the Penny Problem. The radio station is giving the winner of this challenge a prize pack that includes tickets to see his or her favorite band in concert. To start off the challenge, the radio station has placed pennies in a cylindrical glass jar. Each penny is 0.75 inches in diameter and 0.061 inches thick. If the cylindrical glass jar containing the pennies has a diameter of 6 inches and a height of 11.5 inches, how many pennies can fit inside the jar? You must show all work to receive credit.
So first I want to fine what the volume of the jar is so I am going to use or Cubed inches
Now we know how much space we have inside the jar.
Now we have to find the volume 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 — Tennis Trouble:
Now it's time to move on to the second challenge called Tennis Trouble. The second challenge is to figure out how many tennis balls fit in a specially 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 tennis balls could fit into the container if the container’s dimensions are doubled? You must show all work to receive credit.
In order to find the volume of this container we are going to have to use two formulas. The first formula will be so we can find the volume of the cylinder.
Now we have to find the volume of the cone
And after doing that I find that
Now all we have to do is add the two together and we will know the volume of the container.
Now we have to find the volume of the tennis balls. In order to find the volume of a tennis ball we have to find the area of it.
After doing that I am going to divide
The first challenge to complete is the Penny Problem. The radio station is giving the winner of this challenge a prize pack that includes tickets to see his or her favorite band in concert. To start off the challenge, the radio station has placed pennies in a cylindrical glass jar. Each penny is 0.75 inches in diameter and 0.061 inches thick. If the cylindrical glass jar containing the pennies has a diameter of 6 inches and a height of 11.5 inches, how many pennies can fit inside the jar? You must show all work to receive credit.
So first I want to fine what the volume of the jar is so I am going to use or Cubed inches
Now we know how much space we have inside the jar.
Now we have to find the volume 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 — Tennis Trouble:
Now it's time to move on to the second challenge called Tennis Trouble. The second challenge is to figure out how many tennis balls fit in a specially 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 tennis balls could fit into the container if the container’s dimensions are doubled? You must show all work to receive credit.
In order to find the volume of this container we are going to have to use two formulas. The first formula will be so we can find the volume of the cylinder.
Now we have to find the volume of the cone
And after doing that I find that
Now all we have to do is add the two together and we will know the volume of the container.
Now we have to find the volume of the tennis balls. In order to find the volume of a tennis ball we have to find the area of it.
After doing that I am going to divide