A cylindrical tank has a capacity of
capacity of 6160m^3. If the radius of the base is 14cm. Find its
depth.
Share
A cylindrical tank has a capacity of
capacity of 6160m^3. If the radius of the base is 14cm. Find its
depth.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Let the depth of the tank be h.
Given :-
[tex]\sf {Volume\ of\ tank =6160\ m^3}\\\\\sf {Radius\ of\ tank =14m}[/tex]
As we know that, volume of tank is given as-
[tex]\sf {V=\pi r^2h}[/tex]
Therefore,
[tex]\sf {Volume\ of\ tank =\pi r^2h}[/tex]
[tex]\sf {\frac{22}{7}\times (14)^2 h=6160 }\\\\\sf {616h = 6160}\\\\\sf {h=\frac{6160}{616} }\\\\\sf {h=10\ m}\\\\[/tex]
Hence the depth of the tank is 10m.