Answer:
305 tennis balls should fit
Step-by-step explanation:
The volume of the machine is length * width * height
So Volume of Machine = 15 * 15 * 14 = 3150
Volume of Sphere is [tex]V=\frac{4}{3}\pi r^3[/tex]
Where
V is volume and r is radius (half of diameter)
Since 2.7 is diameter, 2.7/2 = 1.35 inches is radius
Volume of 1 tennis ball = [tex]V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}\pi (1.35)^3\\V=10.3[/tex] (rounded to 1 decimal)
We simply divide the volume of the machine by volume of 1 tennis ball to get number of tennis balls:
3150/10.3 = 305.82
the fractional amount (.82) won't be possible so the max number of balls possible is 305 balls
