To find the volume of a cylinder, you can use the formula:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height of the cylinder.
- Find the radius: The radius is half of the diameter. Given that the diameter is 10 feet, the radius \( r \) is:
\[ r = \frac{10}{2} = 5 \text{ feet} \]
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Use the height: The height \( h \) is given as 25 feet.
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Substitute the values into the volume formula:
\[ V = 3.14 \times (5)^2 \times 25 \]
- Calculate \( (5)^2 \):
\[ (5)^2 = 25 \]
- Substitute back into the equation:
\[ V = 3.14 \times 25 \times 25 \]
- Calculate \( 25 \times 25 \):
\[ 25 \times 25 = 625 \]
- Now calculate \( 3.14 \times 625 \):
\[ V = 3.14 \times 625 = 1975 \]
Thus, the volume of the cylinder is
\[ \boxed{1975} \text{ cubic feet}. \]