Respuesta :

Step 1

State the volume of a sphere

[tex]\begin{gathered} v=\frac{4}{3}\pi r^3 \\ \pi=3.14 \\ \frac{Diameter}{2}=\text{radius}=\frac{13.6}{2}=6.8\operatorname{mm} \end{gathered}[/tex]

Step 2

Find the volume of the sphere by substitution of values.

[tex]\begin{gathered} v=\frac{4}{3}\times3.14\times(6.8)^3 \\ v=\frac{4}{3}\times3.14\times314.432 \\ v=1316.421973\operatorname{mm} \\ v\approx1316.4\operatorname{mm}^3\text{ to the nearest tenth} \end{gathered}[/tex]

Hence, the volume of the sphere= 1316.4mm³ to the nearest tenth