Answer:
The space NOT occupied by the tennis balls is 12.26 cube inches.
Step-by-step explanation:
The space NOT occupied = volume of cylinder - total volume of spheres
The can is cylinder with volume = h
where r is the radius and h the height of the cylinder
With the given condition,
r = =
= 1.25 inches
h = 3 x diameter = 3 x 2.5
= 7.5 inches
So that,
Volume of the can = x x 7.5
= 36.830
Volume of can is 36.83 cube inches.
The tennis ball is a sphere with volume =
= x x
= 8.185
Volume of the tennis ball is 8.19 cube inches.
Since they are sold in three's, then;
total volume of the tennis balls = 3 x 8.19
= 24.57
Volume of the tennis balls is 24.57 cube inches.
Thus,
The space NOT occupied = 36.83 - 24.57
= 12.26
The space NOT occupied by the tennis balls is 12.26 cube inches.