Question on: JAMB Mathematics - 2017

A cylindrical tank has a capacity of 3080m3. What is the depth of the tank if the diameter of its base is 14m? Take pi = 22/7.

A
23m
B
25m
C
20m
D
22m
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Correct Option: C

Capacity = Volume = 3080m3

base diameter = 14m

radius = (\frac{\text{diameter}}{2})

= 7m

Volume of Cylidner = Capacity of cylinder

πr2h = 3080

(\frac{22}{7}) × 7 × 7 × h = 3080

h = (\frac{3080}{22 \times 7})

h = 20m

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