The density of gold is 19.3 g `cm^(-3)`. Calculate the diameter of a solid gold sphere having a mass of 422 g.

Explanation

To find the diameter of a solid gold sphere with a mass of 422 g and a density of 19.3 g/cm³, we can follow these steps:

### Step 1: Calculate the Volume of the Gold Sphere
We know that density (D) is defined as mass (M) divided by volume (V):
\[ D = \frac{M}{V} \]
From this, we can rearrange the formula to find the volume:
\[ V = \frac{M}{D} \]

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