Answer to Question #105378 in Physics for Denver

Question

What is the pressure felt at the bottom of a cylindrical tank if the tank has a base radius of 0.5m and a height of 1.75m and the tank carries a fluid with mass of 400kg?

Answer 1

Mass of fluid$=400Kg$

Tank has a base radius of $0.5m$ and a height of $1.75m$ .

Volume of tank$=\pi r^2h=\pi\times 0.5^2\times 1.75=1.37\ m^3$

Density of fluid$=\frac{M}{V}=\frac{400}{1.37}=291.17 \ Kg/m^3$

Pressure at bottom$=P_o+\rho gh$ (where $P_o$ is atmospheric pressure).

$\implies P=(1.01325\times 10^5+291.17\times 9.8\times 1.75)Pa=1.06318\times 10^5 \ Pa=1.049 \ atm$