Respuesta :

Answer:

[tex]209.4 \mathrm{ft}^{3} \text { is the volume of the solid figure which is shown in the image. }[/tex]

Step-by-step explanation:

The solid figure which is given in the image is cone.

To find the "volume of the cone".

We know that,

[tex]\text { Volume of the cone is }(\mathrm{V})=\pi \times r^{2} \frac{h}{3}[/tex]

From the figure we know that, r = 5 ft and h = 8 ft

Substitute the values in the formula,

[tex]\text { Volume of the cone is }(\mathrm{V})=\pi \times 5^{2} \times \frac{8}{3}[/tex]

[tex]\text { Volume of the cone is }(\mathrm{V})=\pi \times 25 \times 2.667[/tex]

[tex]\text { Volume of the cone is }(\mathrm{V})=209.46 \mathrm{ft}^{3}[/tex]

[tex]\text { Volume of the cone round to nearest tenth is } 209.4 \mathrm{ft}^{3}[/tex]

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