The tank contain 588.75 cubic meters of water when it is 75% full.
Given,
Height of the water tank is 10 m.
Diameter of cylindrical shaped water tank is 10 m.
So its radius will be 5 m. ( radius is half of the diameter )
Volume of cylinder:
We have to calculate the capacity if the water tank when it is 75 % full.
We know that the volume of cylinder is,
[tex]V=\pi r^{2}\times h[/tex]
[tex]V=3.14\times 5^2\times 10 \ m^3[/tex]
[tex]V=3.14\times 250 \ m^3[/tex]
[tex]V=785 \ m^3[/tex]
Now 75% of this volume will be,
[tex]\dfrac{75}{100}\times 785 \ m^3=588.75 \ m^3[/tex]
Hence the volume of this water tank is 588.75 cubic meters when it is 75% full.
For more details about cylinder, follow the link:
https://brainly.com/question/12748872
