Answer:
[tex]39,865.1m^3[/tex]
Step-by-step explanation:
a hemisphere is half a sphere.
And if the formula for the volume of a sphere is:
[tex]V=\frac{4\pi r^3}{3}[/tex]
we must calculate the volume of the sphere and in the end divide by two to find the volume of the hemisphere.
Since the radius is:
[tex]r=26.7m[/tex]
substituting this into the formula for volume:
[tex]V=\frac{4\pi (26.7m)^3}{3} \\\\V=\frac{4(3.1416)(19,034.163m^3)}{3} \\\\V=79,730.12m^3[/tex]
this is the volume of the total sphere, thus the volume of a hemisphere is:
[tex]\frac{V}{2}=\frac{79,730.12m^3}{2}\\ =39,865.06m^3[/tex]
rounding to the nearest tenth:
[tex]39,865.1m^3[/tex]
