The closest to the maximum number of cups the punch bowl can hold is 30
How to determine the number of cups?
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:
[tex]V = \frac{2}{3}\pi r^3[/tex]
This gives
[tex]V = \frac{2}{3}\pi * 6^3[/tex]
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
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