Answer:
1,206
Step-by-step explanation:
Since we'll have to deal with cubic inches (with the ball volume), we should also calculate the volume of the car in cubic inches.
We are told the car is a rectangular prism measuring 10ft x 5 ft x 3 ft.
So, in inches (12 inches/foot), we have: 120 in x 60 in x 36 in = 259,200 cu inches.
The ball is a sphere with a radius of 3 inches.
Real volume of the ball: V = (4/3) π r³
V = (4/3) π 3³ = 36 π = 113.1 cu inches
But of course, balls don't fit perfectly one next to another, like cubes, so we have to take into account the loss... the question tells us to use a factor of 190%.
So, the packing volume of a ball is 190% its real volume:
PV = 190% * 113.1 = 214.9 cu inches
Now, how many times does that fit inside the car?
259,200 / 214.9 = 1,206.14
Let's round it to 1,206, which is a possible answer.
