Practice

While operating a spherical tank of radius $7$ m to hold $100m^3$ of water in your town,

according to the following equation

$V=h^2\frac{3R-h}{3}$

where;

V : water volume in $(m^3)$

$h$: water depth in the tank $(m)$

R : Tank radius $($ m $)$

Calculate required water depth to hold the $100m^3$ water using

Newton$-$Raphson Method $[$MATLAB Code$]$

Secant Method $[$MATLAB Code$]$

Calculator

Note that by solving the equation using a calculator it gives two roots $[20\mathrm{.}77$ and

$2\mathrm{.}257],$ of course, you will choose the $2\mathrm{.}257$ m $,$ because $20\mathrm{.}77>D$ which makes

no sense.

solve using secant in matlab