A cylindrical tank has a capacity of 3080m. What is the depth of the tank if the diameter of its base is 14 m?
(Take pi = 22/7)
The correct answer is C. 20 m
The formula to calculate the volume of a cylindrical tank is given by:
Volume = π r^2 h,
where:
- Volume is the capacity of the tank (3080 m^3),
- π is the constant (22/7),
- r is the radius of the base of the tank (half of the diameter),
- h is the depth of the tank (what we want to find).
Given that the diameter of the base is 14 m, the radius (r) is half of that:
r = 14 m / 2 = 7 m.
Substitute the values into the formula:
3080 = (22/7) (7^2) h.
Now solve for h:
h = \(\frac{3080}{(22/7) 7^2}\).
h=20m
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