Answer: [tex]3037.95\ cm^3[/tex]
Step-by-step explanation:
We know that the volume of sphere is given by :-
[tex]\text{Volume}=\frac{4}{3}\pi r^3[/tex], where r is the radius of sphere.
Given : Diameter of non-scale model of the earth= 18 in.
Radius = [tex]\frac{18}{2}=9\ in.[/tex]
We know that the volume of non-scale model of the earthis given by :-
[tex]\text{Volume}=\frac{4}{3}\pi (9)^3\\\\\Rightarrow\ \text{Volume}=\frac{4}{3}(3.14)(729)\\\\\Rightarrow\ \text{Volume}=3052.08\ cm^3[/tex]
Diameter of ball= 3 in.
Radius = [tex]\frac{3}{2}\ in.[/tex]
We know that the volume of ball is given by :-
[tex]\text{Volume}=\frac{4}{3}\pi (\frac{3}{2})^3\\\\\Rightarrow\ \text{Volume}=\frac{4}{3}(3.14)(\frac{27}{8})\\\\\Rightarrow\ \text{Volume}=14.13\ cm^3[/tex]
The volume of the clay= [tex]3052.08\ cm^3-14.13\ cm^3=3037.95\ cm^3[/tex]
