A cylindrical tank has a capacity of 3080 m3. What is the depth of the tank if the diameter of its base is 14 m?
(Take pi = 22/7)
Answer Details
We can use the formula for the volume of a cylinder to solve this problem. The formula is:
Volume = πr^2h
where π is the value of pi, r is the radius of the base, h is the height (or depth) of the cylinder.
We are given that the diameter of the base of the cylinder is 14 m, which means the radius is 7 m (since radius is half the diameter).
We are also given that the volume of the cylinder is 3080 m^3.
Substituting these values into the formula, we get:
3080 = (22/7) * 7^2 * h
Simplifying this expression, we get:
3080 = 22 * 7 * h
3080 = 154h
h = 3080/154
h = 20
Therefore, the depth of the cylinder is 20 m, which means the answer is option C: 20 m.