The closest to the maximum number of cups the punch bowl can hold is 30
<h3>How to determine the number of cups?</h3>
The given parameters are:
1 cup = 15 cubic inches
Diameter of bowl, d = 12 inches
The radius is the half of the diameter.
So, we have:
r = 6
The volume of the bowl is then calculated using:
![V = \frac{2}{3}\pi r^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B2%7D%7B3%7D%5Cpi%20r%5E3)
This gives
![V = \frac{2}{3}\pi * 6^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B2%7D%7B3%7D%5Cpi%20%2A%206%5E3)
Evaluate
V = 452.16
The maximum number of cups is then calculated using:
Cups = 452.16/15
Evaluate
Cups = 30.1444
Approximate
Cups = 30
Hence, the closest to the maximum number of cups the punch bowl can hold is 30
Read more about volumes at:
brainly.com/question/1972490
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