Question on: JAMB Mathematics - 2024
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?
A
25m
B
23m
C
22m
D
20m
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Correct Option: D
The volume of a cylinder is given by:
\[ V = \pi r^2 h \]
Where \(V\) is volume, \(r\) is radius, and \(h\) is height.
Given diameter = 14 m, so radius \( r = 7 \, m \)
Substitute values:
\[ 3080 = \pi \times 7^2 \times h \]
\[ 3080 = 49\pi h \]
\[ h = \frac{3080}{49\pi} \approx 20 \, m \]
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