HELP PLEASE!! Find the volume of a cone with a base diameter of 12 ft and a height of 6 ft.
Write the exact volume in terms of it, and be sure to include the correct unit in your answer.

HELP PLEASE Find the volume of a cone with a base diameter of 12 ft and a height of 6 ft Write the exact volume in terms of it and be sure to include the correc class=

Respuesta :

Answer:

288

Step-by-step explanation:

Answer:

[tex]V=72\pi ft^3[/tex]

Step-by-step explanation:

Recall the formula for the volume of a cone:

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

Where r is the radius and h is the vertical height.

We know that the diameter is 12ft. This means that radius must be 6ft.

And we are given that the vertical height is 6ft.

Plug in the numbers:

[tex]V=\frac{1}{3}\pi (6)^2(6)\\V=2(36)\pi\\V=72\pi ft^3[/tex]

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