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Answer :

Remember that the volume of a cone is:

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

Using the formula and the data given, we'll get:

[tex]\begin{gathered} V=\frac{1}{3}\cdot(3.14)\cdot(7^2)\cdot(25) \\ \rightarrow V=1282.2 \end{gathered}[/tex]

Thereby, the volume of the cone (rounded to the nearest tenth) is 1282.2 cubic feet.