Question

Find the volume of the come Formulas V= 1/3 * B * hV= 1/3 * 3.14 * r^2 * h

Answer 1

The volume of a cone can be calculated according to the formula:

`V=(1)/(3)\cdot\pi\cdot r^2\cdot h`

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.

`\begin{gathered} V=(1)/(3)\cdot\pi\cdot r^2\cdot h \\ V=(1)/(3)\cdot\pi\cdot9^2\cdot8 \\ V=(1)/(3)\cdot\pi\cdot81^{}\cdot8 \\ V=216\pi \end{gathered}`

3) To find the approximate value of the volume, substitute π by 3.14.

`\begin{gathered} V=3.14\cdot216 \\ V=678.24 \end{gathered}`

Answer: The volume is 678.24 m³.