Answer:
[tex]39.3 ft^3[/tex]
Step-by-step explanation:
The cylindrical basin has a height of 2 ft and a diameter of 5 ft.
To find the amount of water that will completely fill up the basin, we simply need to find the volume of the basin.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius of the basin (half the diameter) = 2.5 ft
h = height of the basin
Hence, the volume is:
[tex]V = \pi * 2.5^2 * 2[/tex]
[tex]V = 39.27 ft^3[/tex] ≅ [tex]39.3 ft^3[/tex]
The cylindrical basin can hold up to [tex]39.3 ft^3[/tex] of water.