ANSWER
250π cubic meters
EXPLANATION
The volume of a cylinder is,
[tex]V=B\cdot h[/tex]
Where B is the area of the base and h is the height. Since the base is circular, the area is,
[tex]B=\pi\cdot r^2[/tex]
Where r is the radius.
In this case, we know that the height is h = 10 meters and the diameter is d = 10 meters, so the radius is,
[tex]r=\frac{d}{2}=\frac{10m}{2}=5m[/tex]
And the volume is,
[tex]V=\pi\cdot5^2m^2\cdot10m=\pi\cdot25\cdot10\text{ }m^3=250\pi\text{ }m^3[/tex]
Hence, the volume of this cylinder is 250π m³.
