MATHEMATICS

JAMB 2014 - Question 30

Mathematics 2014 JAMB Past Questions - Question 30: A cylindrical tank has a capacity of 6160m³ What is the depth of the tank if the radius of its base is 28m?

A cylindrical tank has a capacity of 6160m³ What is the depth of the tank if the radius of its base is 28m?
A:
B:
C:
D:
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Correct Answer

A

Explanation

Using V = π2h6160 = 22/7 x 28 x28 x h6160 = 22 x 4 x 28 x h / 22 x 4 x 28= 2.5cmTo find the depth of the cylindrical tank, we can use the formula for the volume of a cylinder:Volume = π * r² * hGiven that the capacity of the tank is 6160 m³ and the radius of its base is 28 m, we can substitute these values into the formula:6160 = π * 28² * hTo solve for h, we can divide both sides of the equation by π * 28²:h = 6160 / (π * 28²)Using the value of π as approximately 3.14159, we can calculate the depth:h ≈ 6160 / (3.14159 * 28²)h ≈ 6160 / (3.14159 * 784)h ≈ 6160 / 2450.26544h ≈ 2.514 mTherefore, the depth of the cylindrical tank is approximately 2.514 meters.