The volume of a cone can be calculated according to the formula:
[tex]V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h[/tex]
Where
V = volume of the cone
r = radius of the cone
h = height
To solve this exercise, you have to:
1) Extract the values of the problem.
r = 9 m (18/2)
h = 8 m
2) Substitute the values in the equation.
[tex]\begin{gathered} V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h \\ V=\frac{1}{3}\cdot\pi\cdot9^2\cdot8 \\ V=\frac{1}{3}\cdot\pi\cdot81^{}\cdot8 \\ V=216\pi \end{gathered}[/tex]
3) To find the approximate value of the volume, substitute π by 3.14.
[tex]\begin{gathered} V=3.14\cdot216 \\ V=678.24 \end{gathered}[/tex]
Answer: The volume is 678.24 m³.
