<h3>
Answer: 9V</h3>
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Reason:
The volume expression of a cone with radius r and height h is
![\frac{1}{3}\pi*r^2*h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%2Ar%5E2%2Ah)
Let's plug in the given height h = 12 and we'd get
![\frac{1}{3}\pi*r^2*h\\\\\frac{1}{3}\pi*r^2*12\\\\\left(\frac{1}{3}*12\right)\pi*r^2\\\\4\pi*r^2\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Cpi%2Ar%5E2%2Ah%5C%5C%5C%5C%5Cfrac%7B1%7D%7B3%7D%5Cpi%2Ar%5E2%2A12%5C%5C%5C%5C%5Cleft%28%5Cfrac%7B1%7D%7B3%7D%2A12%5Cright%29%5Cpi%2Ar%5E2%5C%5C%5C%5C4%5Cpi%2Ar%5E2%5C%5C%5C%5C)
This is the volume of the first cone. We're told the first cone has a volume of V, so we can say ![V = 4\pi r^2](https://tex.z-dn.net/?f=V%20%3D%204%5Cpi%20r%5E2)
We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.
The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r
Replace every copy of r with 3r. Then simplify
![4\pi*r^2\\\\4\pi*(3r)^2\\\\4\pi*9r^2\\\\9(4\pi r^2)\\\\9V\\\\](https://tex.z-dn.net/?f=4%5Cpi%2Ar%5E2%5C%5C%5C%5C4%5Cpi%2A%283r%29%5E2%5C%5C%5C%5C4%5Cpi%2A9r%5E2%5C%5C%5C%5C9%284%5Cpi%20r%5E2%29%5C%5C%5C%5C9V%5C%5C%5C%5C)
The radius tripled which results in a volume that's 9 times bigger.
Answer:
![y= 480-0.5x](https://tex.z-dn.net/?f=y%3D%20480-0.5x)
Step-by-step explanation:
Given data
Number of balls= 480
we are told that 50%(half) of the balls are put back every 1
let the number of hours be x
and let the remaining ball be y after x hours
Hence the expression is given as
![y= 480-0.5x](https://tex.z-dn.net/?f=y%3D%20480-0.5x)