Respuesta :

Answer:

5.99 feet.

Step-by-step explanation:

If the radius of the base of a right cylinder is r and its length is l, then the volume of the cylinder will be [tex]V = \pi r^{2} l[/tex]

Now, it is given that the volume(V) of the cylindrical tank is 2279.64 cubic feet and radius(r) of its base is 11 feet.

Therefore, the equation for getting the length(l) is

[tex]2279.64 = \pi (11^{2} ) \times l[/tex]

[tex]l=\frac{2279.64 \times 7}{22 \times 121} = 5.99[/tex] feet.

So, the length of the tank is 5.99 feet. (Answer)