Respuesta :

haleyizcrazy

46.08 cm³

Ok, so we know:

Diameter = 4

Height = 11

Diameter = Radius²

the formula we need to use : pi × r² or (diameter) × height/3

We can substitute the height and the r² because we already know them.

So now, the equation we are using is : pi × 4 × 11/3

11/3 is about 3.666666666666666666666666 so on

If we multiply that by 4 in a calculator that will be 14.66666666666666666666 so on

Now multiply 14.666666666666666666666 so on in a calculator with pi

you will get 46.0766922527. If we round to the nearest hundredth it will be 46.08³

Answer:

46.06 cm.³ (it's not exactly the first answer so the fourth may be your best bet but it's your call :) )

Step-by-step explanation:

First, the formula of the volume of a cone is V = πr²(h/3). So, let's proceed by identifying the variables we were given in the diagram.

h = 11 cm.

Remember that d (diameter) is equal to 2r (twice the radius) so r = d/2 = (4cm)/2 = 2 cm.

r = 2 cm.

Now, we can plug these values into the formula for area.

V = πr²(h/3)

V = π(2cm)²(11cm/3) = (3.14)(4cm²)(11cm/3) = 46.06 cm.³

So the answer is 46.06 cm.³.