Answer:
5.4 ft
Step-by-step explanation:
Given that the volume of the hemisphere sphere, [tex]V= 324 ft^3[/tex].
Let r be the radius of the hemisphere.
As the volume of the hemisphere, [tex]V=\frac {2}{3}\pi r^3[/tex]
By using the given value, we have
[tex]\frac {2}{3}\pi r^3=324[/tex]
[tex]\Rightarrow r^3=\frac{324\times 3}{2\pi} \\\\\Rightarrow r^3=\frac{324\times 3}{2\times3.14} \\\\\Rightarrow r^3=154.78 \\\\\Rightarrow r=\left( 154.78 \right)^{1/3} \\\\[/tex]
[tex]\Rightarrow r=5.4[/tex] ft
Hence, the radius of the hemisphere is 5.4 ft.
