Respuesta :

To find the volume, we use the equation for the volume of a cone

[tex]V_{cone}=\frac{\pi\cdot r^2\cdot h}{3}[/tex]

The radius is,

[tex]r=\frac{d}{2}=\frac{10\operatorname{cm}}{2}=5\operatorname{cm}[/tex]

the height is,

[tex]h=7\operatorname{cm}[/tex]

Finally, we replace the values in the initial equation,

[tex]V_{cone}=\frac{\pi\cdot(5\operatorname{cm})^2\cdot7\operatorname{cm}}{3}=(183.17\operatorname{cm})^3[/tex]

So, the volume is approximate 183 cm^3

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