Respuesta :

Answer:

[tex]107.18 \ \text{units}^{3}[/tex]

Step-by-step explanation:

Reviewing the formula:

To find the volume of a cone, we need to use the formula [tex]\frac{\pi r^{2}h }{3}[/tex]h" represents the height of the cone and "r" represents the radius of the cone.

[tex]\text{Volume of cone:}\ \frac{\pi r^{2}h }{3}[/tex]

Reviewing the given information:

In the cone, we can see that the height of the cone is 10 units, and the radius of the cone is 3.2 units. Let's substitute the radius and the height of the cone to find the volume.

[tex]\rightarrow \text{Volume of cone:}\ \frac{3.14 \times 3.2^{2} \times 10 }{3}[/tex]

Finding the volume of the cone:

Now, simplify the expression.

[tex]\rightarrow \text{Volume of cone:}\ \frac{3.14 \times 10.24 \times 10 }{3}[/tex]

[tex]\rightarrow \text{Volume of cone:}\ \frac{3.14 \times 102.4}{3}[/tex]

[tex]\rightarrow \text{Volume of cone:}\ \frac{3.14 \times 102.4}{3}[/tex]

[tex]\rightarrow \boxed{\text{Volume of cone:} \ 107.18 \ \text{units}^{3}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (\text{Rounded to 2 decimal place})[/tex]

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