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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 \(\dfrac43\pi r^3,\) where \(r\) is the radius.)
(A) \(12\)
(B) \(16\)
(C) \(\sqrt[3]{16}\)
(D) \(3\sqrt[8]8\)
(E) \(2\sqrt[3]{36}\)
Answer: E
Source: Official Guide
(A) \(12\)
(B) \(16\)
(C) \(\sqrt[3]{16}\)
(D) \(3\sqrt[8]8\)
(E) \(2\sqrt[3]{36}\)
Answer: E
Source: Official Guide
