a lead ball has a mass of 5.910 g and a diameter or 10.0 mm what is the density of lead in grams per cubic centimeters. The volume of the sphere

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,

r = D/2

as

D = 1 cm

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