Question
A box with a height of 5 inches that contains 9 identical glass spheres that have a diameter of 5 inches are used to make snow globes.The spheres are tightly packed,as shown below.15 by 15 in.What is the volume of the empty space left in the box,in cubic inches?Round your answer to the nearest tenth of a cubic inch.
Asked by: USER4945
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317 Answers
Answer (317)
the picture in the attached figure
we know that
volume of the box=15*15*5-----> 1125 in³
the volume of one sphere=(4/3)*pi*r³
r=5/2----> 2.5 in
the volume of one sphere=(4/3)*pi*2.5³----> 65.45 in³
volume of 9 spheres=9*65.45 ----> 589.05 in³
the volume of the empty space left in the box=1125-589.05--> 535.95 in³
the answer is
536 in³
we know that
volume of the box=15*15*5-----> 1125 in³
the volume of one sphere=(4/3)*pi*r³
r=5/2----> 2.5 in
the volume of one sphere=(4/3)*pi*2.5³----> 65.45 in³
volume of 9 spheres=9*65.45 ----> 589.05 in³
the volume of the empty space left in the box=1125-589.05--> 535.95 in³
the answer is
536 in³