00:01
Let's start with our expansion equation.
00:03
Delta l is equal to alpha, li, delta t.
00:09
We can rearrange this and solve for l final, which is just l final is equal to l initial 1 plus alpha delta t.
00:22
Let's look up alpha for steel in our textbook, which you should find is 11 times 10 to the negative 6.
00:31
Inverse degrees celsius and we can just plug in all of our numbers right and then plug in d -i -n -f for l -i -n -f because i'm looking for diameter so d -final is equal to d initial which is 2 .540 centimeters times 1 plus 11 times 10 to negative 6 inverse degree celsius time well our change in temperature is 100 minus 25 degrees celsius should find that our final diameter of our steel sphere is equal to 2 .542 centimeters.
01:14
Similarly for b, we're going to look at change of volume, so let's look at our volume expansion equation.
01:20
Delta v is equal to 3 alpha, phi initial delta t.
01:27
We can rearrange this like we did before, and find v final is equal to fee initial times 1...