Answer:
[tex]2cm[/tex]
Step-by-step explanation:
Volume of a cone= [tex]\pi r^2\frac{h}{3}[/tex]
Substitute: [tex]37.68cm^3=\pi r^2(\frac{9}{3})[/tex]
[tex]37.68cm^3=\pi r^2(3)[/tex]
[tex]37.68cm^3=\pi r^2(3)[/tex] Divide by 3
[tex]12.56cm=\pi r^2[/tex] Divide by pi
[tex]4cm=r^2[/tex]
[tex]r=\sqrt{4}[/tex]
[tex]r=2[/tex]