If the capacity of a cylindrical tank is 14,168 m³ and the diameter of its base is 28 m , then find the depth of the tank (in m). (Take π = 22/7 )

Correct option is D

Given:

Capacity of cylindrical tank = 14,168$$m^3$$​​

Diameter of base = 28m

Formula Used:

Volume of cylindrical tank =$$\pi r^2 d$$​

Where r and d are radius and depth of tank

Solution:

Radius of tank =$$\frac{28}{2} =14m$$​​

Volume =$$\pi r^2 d = 14,168$$​​

​$$\frac{22}{7} \times (14)^2\times d = 14,168$$​​

​$$d = \frac{14,168 }{14 \times 22 \times 2}$$​​

​$$d= 23m$$​​