Respuesta :

Ben

Answer:

[tex]351 \pi[/tex] (about 1102.69902)

Step-by-step explanation:

The volume of a cone is represented by the formula [tex]V=\pi r^2 \frac{h}{3}[/tex], where [tex]V[/tex] is the volume, [tex]r[/tex] is the radius, and [tex]h[/tex] is the height.

  1. Substitute in the values. [tex]V=\pi * 9^2 * \frac{13}{3}[/tex]
  2. Simplify the exponent. [tex]V=\pi * 81 * \frac{13}{3}[/tex]
  3. Multiply. [tex]V=351 \pi[/tex]

This is as simple as the solution can get without estimating, but we can estimate with a calculator.  [tex]351 \pi[/tex] is approximately equal to 1102.69902.

Answer is provided in the image attached.

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