Estimate the number of ping-pong balls that can be packed into an average size room (without crushing them). given that ping-pong ball has a radius of about 1.5 cm and assume that a typical room has dimensions12 ft ×18 ft ×9 ft.

3,893,845.918 Ping-Pong balls

Explanation:

The volume of an average room is:

(1)

(2)

Now let’s transform this to units of , knowing :

(3)

On the other hand, we have Ping-Pong balls with a radius , and their volume is given by:

(4)

(5)

(6)

Now, the number of Ping-Pong balls that can be packed into the room is:

(7)

 (8)

This is the number of Ping-Pong balls that can be packed into an average size room

1= 26.17

2= 1.17

3=30.86

4=5.86

just took the assigment on edge