Respuesta :

The Solution:

Given:

Required:

Find the radius, height, and volume of the cone.

Clearly from the given figure, we have:

The radius is 3 units.

The height of the cone is 8 units.

The volume can be calculated by using the formula:

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

In this case,

[tex]\begin{gathered} V=volume=? \\ r=radius=3 \\ h=height=8 \\ \pi=3.14\text{ }(given) \end{gathered}[/tex]

Substituting these values in the above formula, we get

[tex]V=\frac{1}{3}(3.14\times3^2\times8)=3.14\times3\times8=75.36\approx75.4\text{ cubic units}[/tex]

Thus, the volume of the cone is 75.4 units cube.

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