A sphere of metal has a radius of 5.7 cm and a density of 8.33 g/cm^3. What is the mass of the sphere? Answer in units of g.
mass=density*volume
= 8.33g/cm^3 ( 4/3 PI (5.7cm)^3 )
To find the mass of the sphere, we can use the formula:
Mass = Density × Volume
The volume of a sphere can be calculated using the formula:
Volume = (4/3) × π × radius^3
Let's calculate the volume first:
Volume = (4/3) × π × 5.7^3 cm^3
Volume ≈ 4.188 × 5.7^3 cm^3 (using the value of π as 3.14159)
Volume ≈ 4.188 × 183.651 cm^3
Now, let's calculate the mass using the density and volume:
Mass = 8.33 g/cm^3 × 4.188 × 183.651 cm^3
Mass ≈ 1557.852686 g
Therefore, the mass of the sphere is approximately 1557.85 g.