Answer: 96.67 m³
Step-by-step explanation:
A hemisphere is half of a sphere. With this in mind, we will take the volume for a sphere and divide it by two. This is the formula we will use.
[tex]\displaystyle V=\frac{2}{3}\pi r^3[/tex]
Subsitutute given values.
➜ They give us that r = 3.6 m.
[tex]\displaystyle V=\frac{2}{3}\pi (3.6)^3[/tex]
Cube.
[tex]\displaystyle V=\frac{2}{3}\pi (46.656)[/tex]
Multiply.
[tex]\displaystyle V=\frac{93.312}{3}\pi[/tex]
Divide.
V = 31.104π
Multiply.
➜ Substitute 3.14 for pi as given.
V = 97.66656 ≈ 96.67 m³
