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 g
lobes.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.
1 answer:
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
<span>the volume of the empty space left in the box=1125-589.05--> 535.95 in</span>³
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
<span>the volume of the empty space left in the box=1125-589.05--> 535.95 in</span>³
the answer is
536 in³
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