Answer :
Final answer:
The mass of Harry's Golden Snitch, calculated using its radius and density, is found to be 757.1 g after determining its volume and applying the mass-to-volume ratio.
Explanation:
To calculate the mass of Harry's Golden Snitch, we must first find its volume using the formula for the volume of a sphere, which is V = (4/3)πR³. Given that the radius (R) of the Snitch is 3.10 cm, we calculate its volume and then use the density (ρ) of the Snitch, 6.12 g/cm³, to determine its mass (m) using the formula m = ρ × V.
First, calculate the volume of the sphere:
V = (4/3)π(3.10 cm)³
V = (4/3)π(29.791 cm³)
V = 123.676 cm³ (4 decimal places retained for intermediate calculation)
Now, calculate the mass of the sphere:
m = 6.12 g/cm³ × 123.676 cm³
m = 757.10352 g
To match the answer options, we round to the correct number of significant figures:
m = 757.1 g
