For a party, three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were combined to form a single cheese ball. What was the approximate diameter, in inches, of the new cheese ball?(The volume of a sphere is \frac{4}{3}\pi{r}^{3}, where r is the radius.)
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A12
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B16
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C\sqrt[3]{16}
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D3\sqrt[3]{8}
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E2\sqrt[3]{36}