Answer:
4329 softballs
Step-by-step explanation:
To find the number of softballs that will fit into the container, we first find the volume of the softball. Since it is a sphere, its volume V = 4πr³/3 where r = radius = d/2 where d = diameter of softball.
So, V = 4π(d/2)³/3 = πd³/6
Since d = 8.3 in,
V = πd³/6 = π(8.3 in)³/6 = π × 571.787 in³/6 = 299.39 in³
The volume of the box, V' = 15 × 10 × 5 ft³ = 750 ft³ = 750 × (12 in)³ = 750 × 1,728 in³ = 1,296,000
So, for n softball to fit, its volume must equal the volume of the storage unit.
The volume of n softballs is nV.
For the softballs to fit, V' = nV
n = V'/V
= 1,296,000 in³/299.39 in³
= 4328.8 softballs
≅ 4329 softballs since we cannot have a decimal number of softballs.
