Answer:
254 cubic feet.
Step-by-step explanation:
It is given that the a cylindrical tank is 6 feet across and 9 feet deep. It means
Diameter of cylinder = 6 feet
Radius of the cylinder = 6/2 = 3 feet
Height of the cylinder = 9 feet
The volume of a cylinder is
[tex]V=\pi r^2h[/tex]
where, r is radius and h is height of the cylinder.
Substitute r=3 and h=9 in the above formula.
[tex]V=\pi (3)^2(9)[/tex]
[tex]V=81\pi[/tex]
[tex]V=254.46900[/tex]
We need to find the maximum number of cubic feet. So approx the value to a whole number.
[tex]V\approx 254[/tex]
Therefore, the maximum number of cubic feet of paint the tank will hold is 254 cubic feet.