Respuesta :

The rule of the volume of the cone is

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

r is the radius

h is the height

Since the height of the given cone is 11 mm, then

h = 11

Since the radius of it is 4 mm, then

r = 4

Use pi = 3.14

Then substitute these values in the rule above

[tex]\begin{gathered} V=\frac{1}{3}\times3.14\times4^2\times11 \\ V=\frac{1}{3}\times3.14\times16\times11 \\ V=184.21333333mm^3 \end{gathered}[/tex]

Round it to the hundredth (2 d.p)

[tex]V=184.21mm^3[/tex]

The volume of the cone is 184.21 cubic mm