Answer :
Given:
diameter of the hemisphere = 12m
The volume V of a hemisphere can be found using the formula:
[tex]\begin{gathered} V\text{ = }\frac{2}{3}\pi r^3 \\ Where\text{ r is the radius} \end{gathered}[/tex]The radius r and diameter d are related by the formula:
[tex]\text{r = }\frac{d}{2}[/tex]Substituting the given values into the formula:
[tex]\begin{gathered} V\text{ = }\frac{2}{3}\text{ }\times\pi\times(\frac{12}{2})^3 \\ =\text{ 452.39} \\ \approx\text{ 452.4 m}^3 \end{gathered}[/tex]Answer:
[tex]V\text{ = 452.4 m}^3[/tex]