In order to store paint, a factory has purchased a cylindrical tank that is 6 feet across and 9 feet deep. What is the maximum number of cubic feet of paint the tank will hold?

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 meansDiameter of cylinder = 6 feetRadius of the cylinder = 6/2 = 3 feetHeight of the cylinder = 9 feetThe 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.