Answer:
Part 1) The volume of the ball is 256 cm³
Part 2) The radius of the ball is 3.94 cm
Step-by-step explanation:
Part 1) we know that
The density is equal to divide the mass by the volume
D=m/V
Solve for the volume
The volume is equal to divide the mass by the density
V=m/D
In this problem we have
m=128 g
D=0.5 g/cm³
substitute
V=128/0.5=256 cm³
Part 2) what is the radius of the ball?
we know that
The volume of the sphere (ball) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]V=256\ cm^{3}[/tex]
assume
[tex]\pi =3.14[/tex]
substitute and solve for r
[tex]256=\frac{4}{3}(3.14)r^{3}[/tex]
[tex]768=(12.56)r^{3}[/tex]
[tex]r^{3}=768/(12.56)[/tex]
[tex]r=3.94\ cm[/tex]
