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A cylindrical tank has a capacity of 5632 m³. If the diameter of its base is 8 m, what is the depth of the cylindrical tank? (Use π = 227\frac {22}772
Question

A cylindrical tank has a capacity of 5632 m³. If the diameter of its base is 8 m, what is the depth of the cylindrical tank? (Use π = 227\frac {22}7​)

A.

28 m

B.

118 m

C.

116 m

D.

114 m

Correct option is A

Given:
Diameter of the base = 16 m
Capacity of the tank = 5632
Formula Used:
Volume of a cylinder = πr2h
Solution:
Volume of the tank = πr2h
5632=227×8×8×hh=5632×722×64h=285632 = \frac{22}{7} \times 8 \times 8 \times h \\[6pt]h = \frac{5632 \times 7}{22 \times 64} \\[6pt]h = 28​​

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