the diameter of a metallic ball is 14 cm. what is the mass of the ball, if the density of the metal is 6gm per cm^3.(cm cube)?
mass = volume/density = (4/3 pi *7^3)/6 = 239.46g
oops. mass = volume*density = 8620.5g
To find the mass of the metallic ball, you need to use the formula:
Mass = Density * Volume
To calculate the volume, you need the formula for the volume of a sphere:
Volume = (4/3) * π * (radius)^3
First, you need to find the radius of the metallic ball, which is half of the diameter:
Radius = Diameter / 2
Let's calculate the radius:
Radius = 14 cm / 2 = 7 cm
Now, we can find the volume:
Volume = (4/3) * π * (7 cm)^3
Note that the value of π is approximately 3.14159.
Volume = (4/3) * 3.14159 * (7 cm)^3
Volume = (4/3) * 3.14159 * 343 cm^3
Now, let's calculate the volume:
Volume = 1436.752 cu cm
Finally, we can calculate the mass:
Mass = Density * Volume
Mass = 6 gm/cm^3 * 1436.752 cm^3
Mass = 8614.51 grams (rounded to two decimal places)
Therefore, the mass of the metallic ball is approximately 8614.51 grams.