Answer: 523.6 cm³
Step-by-step explanation:
We are asked to find the volume of what I will be assuming is a sphere. We will use the following formula for the volume of a sphere.
[tex]\displaystyle \boxed{V=\frac{4}{3} \pi r^3}[/tex]
In this formula, V is the volume and r is the radius.
[tex]\displaystyle V=\frac{4}{3} \pi r^3[/tex]
[tex]\displaystyle V=\frac{4}{3} \pi ([10\;cm]/2)^3[/tex]
[tex]\displaystyle V=\frac{4}{3} \pi (5\;cm)^3[/tex]
[tex]\displaystyle V=\frac{4}{3} \pi (125\;cm^3)[/tex]
[tex]\displaystyle V=\frac{500\;cm^3}{3} \pi[/tex]
[tex]\displaystyle V= 523.5987756 \;cm^3[/tex]
[tex]\displaystyle V\approx 523.6 \;cm^3[/tex]