Respuesta :

wegnerkolmp2741o

Answer:

V = 3408 pi  unit^3

Step-by-step explanation:

Volume  of a cone is given by

V = 1/3 pi r^2 h

We know the radius is 12 and the height is 71

V = 1/3 * pi * (12)^2 *71

V = 1/3 * pi * 144 *71

V = 3408 pi  unit^3

lublana

Answer:

[tex]Volume=3408 \pi[/tex] [tex]units^3[/tex]

Step-by-step explanation:

Given that radius of the cone is r = 12 units

Given that height of the cone is h = 71 units

Now question says to find the volume of the given cone.

So plug these values into formula of volume of the cone.

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

[tex]Volume=\frac{1}{3}\pi (12)^2(71)[/tex]

[tex]Volume=\frac{1}{3}\pi (144)(71)[/tex]

[tex]Volume=\frac{1}{3}\pi (10224)[/tex]

[tex]Volume=\frac{10224 \pi}{3}[/tex]

[tex]Volume=3408 \pi[/tex] [tex]units^3[/tex]

Hence correct choice is D.

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