Respuesta :

The volume of a cone is 1/3 * r^2 * pi * h

Since the diameter is 3 the radius would be half of that which is 1.5

Plug in the height and the radius into the formula:

1/3 * pi * 1.5^2 * 4 = 3 pi meters cubed

By definition, the volume of a cone is given by:

[tex] V = (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)
[/tex]

Where,

r: radius of the circular base

h: height of the cone

Substituting values we have:

[tex] V = (\frac{1}{3})*(\pi)*((\frac{3}{2})^2)*(4)
[/tex]

[tex] V = 3\pi m ^ 3
[/tex]

Answer:

The volume of the cone is given by:

[tex] V = 3\pi m ^ 3 [/tex]