Question on: JAMB Mathematics - 2024
A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take π = 22/7.
A
23m
B
25m
C
20m
D
22m
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Correct Option: C
Volume of a cylinder:
\[ V = \pi r^2 h \]
Given:
- V = 3080 m³
- Diameter = 14 m → r = 7 m
- π = \(\frac{22}{7}\)
Substitute:
\[ 3080 = \frac{22}{7} \times 49 \times h \]
\[ 3080 = 154h \]
\[ h = \frac{3080}{154} = 20 \]
Depth = 20 m
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