
Aidja K.
asked 08/17/22Physics scientific notation
If the volume of an olympic swimming pool is 2,500 m3 and the volume of a ping pong ball is 3.351×10-5 m3, how many ping pong balls would it take to fill the pool?
You go on Amazon and find a pack of 60 ping pong balls for $13. How much money will you need to save up to fill the swimming pool with ping pong balls?
2 Answers By Expert Tutors

Marcos O. answered 08/21/22
College Professor
Calculate the volume of the tetrahedron that 4 balls packed closely together create inside their centers, and that is the volume that you need to divide the pool's volume by to get the number of balls needed

Ian H. answered 08/17/22
Aerospace Engineer, United States Marine, SAT/ACT Tutor, Mathematics T
All you have to do is keep your units straight.
Take the volume of the pool in m3 and divide it by the volume per ping pong ball in m3/ball. this will give you the number of balls it takes to fill the pool. Now you need to calculate the cost. A pack of 60 balls costs 13 dollars. Divide the number of balls by 60 and multiply by 13. This will give you the dollar amount required to fill the pool with ping pong balls.
Hope this helps.
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Marcos O.
You have to remember that if you fill the pool with spheres, there is empty space between them and that is filling the pool also. So, the volume of the ping pong balls as they are in the pool must account for this volume. Consider calculating the volume of 3 ping pong balls closely packaged together and use the volume of the tetrahedron within their centers as the unit.08/21/22