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JAMB Mathematics 2020 Paper

Question : 33

Total: 40

^{3}

Solution:

Concept:

The volume of a cylinder is given by

V = \pi r^{2} h

. To find the depth, rearrange the formula to solve for

h

Explanation:

The tank's diameter is

14\,m

, so the radius is

r = \frac{14}{2} = 7\,m

The volume of the tank is

V = 3080\,m^{3}

Use the formula

V = \pi r^{2} h

Rearrange to find the depth:

h = \frac{V}{\pi r^{2}}

Substitute the values:

h = \frac{3080}{\frac{22}{7} \times 7^{2}}

Since

7^{2} = 49

, the denominator becomes

\frac{22}{7} \times 49 = 154

Thus,

h = \frac{3080}{154} = 20\,m

Answer:

20\,m

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