Answer:
11.3 g/cm³
Explanation:
Data Given:
Diameter of lead ball = 10.0 mm
Convert mm to cubic centimeter (cm³)
1 mm = 0.1 cm
So,
10.0 mm = 10.0 x 0.1 = 1 cm
mass of lead ball = 5.910 g
density of of lead ball =?
Solution:
To find density formula will be used
d = m/V ...........(1)
where
d = density
m = mass
V = volume
So,
To find the density of the lead ball (sphere), first we have to find volume of the ball.
To find volume of the ball following formula will be used
V = 4 . π . r³/ 3 ..............(2)
where
π = 3.14
r = radius
So,
as
So, radius will be
r = 1 cm / 2
r = 0.5 cm
Now put values in formula 2
V = (4)(3.14)(0.5cm)³/ 3
V = (12.56)(0.125 cm³) /3
V = 1.57 cm³/3
V = 0.523 cm³
So, the volume of the lead ball is 0.523 cm³
Now put values in equation 1
d = m/V
d = 5.910 g / 0.523 cm³
d = 11.3 g/cm³
Density of the lead ball = 11.3 g/cm³
