For a party, three solid cheese balls with a diameter 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 4/3πr3, where r is the radius.)

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∛16

2∛36

answer is D.

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Detailed Solution

Concept- According to the given question we have given the radius of small cheese balls that is a small sphere and we need to calculate the radius of bigger cheese balls .
In this question we will use the formula of volume of sphere that is

According to the given question we have given the

Now we will apply the given value in the formula , we will get
Question Image

And the volume of the bigger cheese ball is
Question Image

Hence, the correct option is 4) 2∛36

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