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Answer :
The cage can hold approximately 732 volleyballs.
The volume of the cage:
Volume = length x width x height = 48 inches x 60 inches x 72 inches = 207,360 cubic inches
The volume of each volleyball:
The diameter of the volleyball is 8.15 inches, so the radius (r) is half of that, which is 4.075 inches.
Volume = 4/3 x π x [tex](radius)^3[/tex] = 4/3 x π x [tex](4.075 \:\text{inches})^3[/tex] ≈ 283.35 cubic inches
Number of volleyballs that can be held:
Number = Volume of the cage / Volume of each volleyball = 207,360 cubic inches / 283.35 cubic inches ≈ 731.82
So, the cage can hold approximately 732 volleyballs.
Note: None of the given options matches the correct answer.
Complete Question:
An PE teacher is planning storage for volleyballs with a diameter of 8.15 inches. She plans to build a cage with dimensions of 48 inches by 60 inches by 72 inches. How many volleyballs can the cage hold?
A) 97
B) 25,920
C) 120
D) 378
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