Answer:
2294 balls is the approximate number of balls
Step-by-step explanation:
Find the volume occupied a ball of radius 3inches
Volume of a sphere=4/3 [tex]\pi[/tex]×r³
where r is the radius in inches
4/3× [tex]\pi[/tex]×3³ = 36 [tex]\pi[/tex]
=113.11 in³
Find volume of a rectangle prism
v=l×w×h where l is length of prism, w is width of prism and h is height of prism
L=10ft=10×12=120 inches
w=5ft=5×12=60 inches
h=3ft= 3×12= 36 inches
v=120×60×36=259200 in³
Number of balls needed
N=volume occupied by a single ball/volume of the rectangular prism
N=259200/113.11 =2291.57⇒2292 balls
