Final answer:
The volume of the cylinder tank is 324 cubic meters.
Step-by-step explanation:
The volume of a cylinder can be found using the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height or depth of the cylinder.
In this case, the base area is given as 27 sq. m. and the depth is given as 12 m.
To find the radius, we can divide the base area by π: r = √(27/π).
Substituting the values into the volume formula: V = π(√(27/π))²(12).
Simplifying the equation gives us: V = 324 cubic meters.
Therefore, the correct answer is a) 324 cubic meters.