Final answer:
The depth of the cylindrical tank is a) 20 meters.
Step-by-step explanation:
To find the depth of the cylindrical tank, we need to use the formula for the volume of a cylinder. The formula is given by V = πr²h, where V is the volume, r is the radius of the base, and h is the height or depth of the tank.
Given that the volume is 6160 cubic meters and the radius is 14 meters, we can rearrange the formula to solve for h. So, 6160 = π(14)²h. Divide both sides of the equation by π(14)² to get h = 6160 / (π(14)²).
Using a calculator, we can evaluate this expression to find the value of h. The result is approximately 20 meters. Therefore, the depth of the tank is 20 meters.