SOLUTION: Hello, we were tasked to make a set problem that is related to sport and I chose the sport, golf. Can you help me make a set problem? It will gladly help me. Thank you!

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Question 1192243: Hello, we were tasked to make a set problem that is related to sport and I chose the sport, golf. Can you help me make a set problem? It will gladly help me. Thank you!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The golf ball with a diameter of 43mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?
Step-by-step answer:
find the volume of a golf ball :
D=43mm+
r=D%2F2=43%2F2+=21.5mm+

V%5B1%5D=+%284%2F3%29%2Api%2Ar%5E3
V+%5B1%5D=+%284%2F3%29%2Api%2A%2821.5mm+%29%5E3
V+%5B1%5D=41629.7679mm%5E3+

find the volume of a cube-shaped box:
a=D=43mm+

V%5B2%5D=a%5E3
V%5B2%5D=%2843mm%29%5E3
V%5B2%5D=79507mm%5E3

percentage:
p=100%28+V%5B1%5D%2FV%5B2%5D%29
p=100%2841629.7679mm%5E3%2F79507mm%5E3%29

p=100%280.5235987762083841%29

p+=52.36%