Respuesta :

Answer:

C. 134.04 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula to calculate the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height

The base of the cone is a circle, so that the formula to calculate the are of the base is: Area of base = [tex]\pi[/tex] x [tex]radius^{2}[/tex]

The radius of the base is 4cm

=> Area of base = [tex]\pi[/tex] x 4^2 = 3.14 x 16 = 16[tex]\pi[/tex] [tex]cm^{2}[/tex]

The height of the cone is given equal to 8 cm

So the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height = 1/3 x 16[tex]\pi[/tex] x 8 = 134.04 [tex]cm^{2}[/tex]

So the answer is C