Answer:
145
Step-by-step explanation:
The volume of the rectangular prism bin is area of base * height.
Base/top is a square, so area would be 150 * 150 = 22,500
Thus, volume of bin = 22,500 * 210 = 4,725,000
Using volume of sphere formula and given radius of each ball is 16cm, we can say that
Volume of 1 Ball = [tex]\frac{4}{3}\pi r^3 = \frac{4}{3}\pi (16)^3=17,157.28[/tex]
Since, 190% is including the packing, we can take volume of 1 ball (inclusive of packaging) to be 1.9 * 17,157.28 = 32,598.83
How many of this will fit in the bin, we divide bin volume by this:
Number of Balls = [tex]\frac{4,725,000}{32,598.83}=144.94[/tex]
Rounding, we can say that we can fit 145 balls, 2nd answer choice is right.
