Answer:
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Mass of the sphere = 40.775 grams
Density of the sphere = 9.747 g/cm^3
First, let's convert the mass from grams to kilograms:
Mass = 40.775 grams = 0.040775 kilograms
Next, we can use the formula for density to find the volume of the sphere:
Density = Mass / Volume
Since the sphere is a perfect sphere, we can use the formula for the volume of a sphere:
Volume = (4/3) * π * r^3
We can rearrange the formula to solve for the radius:
r = (3 * Mass) / (4 * π * Density)
Substituting the given values:
r = (3 * 0.040775) / (4 * 3.14159 * 9.747)
Calculating the value of r:
r ≈ 0.0146 meters
Now, to convert the diameter from meters to inches, we need to multiply by the conversion factor:
1 meter = 39.37 inches
Diameter = 2 * r = 2 * 0.0146 meters ≈ 0.0292 meters
Converting to inches:
Diameter ≈ 0.0292 meters * 39.37 inches/meter ≈ 1.15 inches
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