Amount of clay used = volume of the sphere
It is given that the radius of the sphere is 2 inches.
Volume of the sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
[tex]=\frac{4}{3} \pi (2^{3} )[/tex]
[tex]=\frac{4}{3} \pi (8)[/tex]
[tex]=\frac{32}{3} \pi[/tex]
Hence, the amount of modeling clay Terrence used [tex]=\frac{32}{3} \pi[/tex] cubic inches.
