Question

A cylindrical tank has a capacity of
capacity of 6160m^3. If the radius of the base is 14cm. Find its
depth.
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Answer 1

Let the depth of the tank be h.

Given :-

$\sf {Volume\ of\ tank =6160\ m^3}\\\\\sf {Radius\ of\ tank =14m}$

As we know that, volume of tank is given as-

$\sf {V=\pi r^2h}$

Therefore,

$\sf {Volume\ of\ tank =\pi r^2h}$

$\sf {\frac{22}{7}\times (14)^2 h=6160 }\\\\\sf {616h = 6160}\\\\\sf {h=\frac{6160}{616} }\\\\\sf {h=10\ m}$

Hence the depth of the tank is 10m