SOLUTION: Two spheres are side by side. The volume of one is 64 times larger than the volume of the smaller. If the diameter of the smaller sphere is 2 cm, find the diameter of the larger sp

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Question 1149605: Two spheres are side by side. The volume of one is 64 times larger than the volume of the smaller. If the diameter of the smaller sphere is 2 cm, find the diameter of the larger sphere, in cm.
Answer by ikleyn(52788) About Me  (Show Source):
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Two spheres are side by side. The volume of one is 64 times highlight%28cross%28larger%29%29 as large as highlight%28cross%28than%29%29 the volume of the smaller.
If the diameter of the smaller sphere is 2 cm, find the diameter of the larger sphere, in cm.
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If the ratio of volumes is 64, then the ratio of diameters is  root%283%2C64%29 = 4.


Hence, the diameter of the larger sphere is 2 cm multiplied by 4, 2*4 = 8 centimeters.   ANSWER