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Thread: need help with one more puzzle please

  1. #1
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    need help with one more puzzle please

    A manufacturer has created a spherical model of the Moon, using a scale ratio of 1:11580000. The model fits exactly into a cubic box with a volume of 27000 cm³. Determine the volume of the moon (in cubic km).
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  2. #2
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    Re: need help with one more puzzle please

    Cube of 27000 cu. cm has a side length of 30 cm. Thus, the diameter of the sphere is 30 cm, so its radius is 15 cm = 0.00015 km. Assuming the moon has a radius proportional via the scaling to the model's, and assuming the moon is "mostly spherical", we estimate the moon has a radius of $r =11580000\cdot 0.00015$ km. Then, we just plug that into the formula for volume of a sphere: $V = \dfrac{4}{3}\pi r^3$
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    Re: need help with one more puzzle please

    Awesome! Thanks for your help!!
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