Please answer parts c and d. Show working as well. Thanks!
Question
Answer:
Part C and D are dependent on Part A and B. So I have worked out from the beginning. Part a:
Number of balls at the bottom layer = 3 x 4 = 12
Answer: 12 balls
Part b:
Number of balls in the box = 12 x 5 = 60
Answer: 60 balls
Part c:
Volume of 1 ball = 4/3π(5)³ = 523.60cm³
Volume of 60 balls = 523.60 x 60 = 31416 cm³
Answer: 31416 cm³
Part d:
Volume of the rectangular prism = 50 x 30 x 40 = 60 000 cm³
Volume of the space is empty = 60 000 - 31416 = 28584 cm³
Percentage of the box that is empty = 28584/60000 x 100 = 48%
Answer: 48%
solved
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11 months ago
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