Question 1199755
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The volume is proportional to the cube of the diameter.  So for the total volume to stay the same, you can...
(1) double (multiply by 2) the diameter and divide the number of spheres by 2^3=8
(2) divide the diameter by 2 and multiply the number of spheres by 2^3=8
or, in general,
(3) divide the diameter by a factor x and multiply the number of spheres by x^3<br>
Option (2) above gives you a diameter of 6/2 = 3 cm and 2(2^3) = 2(8) = 16 spheres, which is answer choice d.<br>
ANSWER: d) 16 spheres each with diameter 3cm<br>