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Step-by-step explanation:

Explanation:

The formula for volume of a sphere is:

V=43πr3

Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.

Hence, using the given data:

2304π=43πr3

We can cancel π from each side.

2304=43r3

Multiply both sides by 34.

2304×34=34×43r3

2304×34=34×43r3

2304×34=r3

5762304×34=r3

576×3=r3

To find the cube root, we separate the factors of the number on the left.

3⋅3⋅3⋅4⋅4⋅4=r3

(3⋅4)(3⋅4)(3⋅4)=r3

12×12×12=r3

12=r

Since the radius (r) is 12, the diameter, which is 2r, will be:

2×12=24