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To find the mass of a similar marble with a radius of 2 cm, you can use the relationship between volume and mass. The volume of a sphere is given by the formula ( V = \frac{4}{3} \pi r^3 ). Since the volume increases with the cube of the radius, if the radius doubles (from 1 cm to 2 cm), the volume increases by a factor of ( 2^3 = 8 ). Therefore, if the mass of the 1 cm marble is 10 grams, the mass of the 2 cm marble would be ( 10 , \text{grams} \times 8 = 80 , \text{grams} ).

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4w ago

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