Respuesta :

Answer:

V =100.48 cm^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 pi ( 4)^2 6

V = 1/3 pi ( 16)*6

V =32 pi cm^3

Let pi 3.14

V =100.48 cm^3

Answer:

Volume = [tex]100.48 \,\,cm^3[/tex]

Step-by-step explanation:

Recall that the volume of the cone is given by the formula:

[tex]Volume=\frac{1}{3} Base * Height[/tex]

that is, one third of the product of the triangles base area times the triangle's height. In this case, the area of the base is a circle of radius 4 cm which using the formula for the area of the circle gives:

[tex]\pi\,R^2=\pi\,(4\,\.cm)^2=16\,\pi\,\,cm^2[/tex]

using this expression for the base in the volume formula, as well as the height of the cone (6 cm) it renders:

[tex]Volume=\frac{1}{3} \,16\,\pi\,(6)\,\,cm^3=32\,\pi\,\, cm^3=100.48 \,\,cm^3[/tex]

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