write the whole code to this answer do not split in $.$write me a python code for this question You are designing a spherical tank asshown in Figure$($Q$1)$ below to hold water

for a small village in a country. The volume of liquid it can hold can be computed

as

$=$

$2$

$[3]$

$3$

Figure$($Q$1)$

where $$ volume $($m$3),$ depth of water in tank $($m$),$ and $$ the tank radius $($m$).$

If $=3,$ to what depth must the tank be filled so that it holds $30$ m$3?$ Use a

computer software program $($Python$)$ to determine your answer. You are

required to compare bisection method, Newton$$s method, and Secant method

solutions and recommend one of these software programs with justifications.

Employ initial guesses of $0$ and R

Program should show:

$$ initial guess value input

$$ second guess value input

$$ indication of error if the interval inputs are not correct input values.

$$ Tolerance$/$error input

$$ All intermediate values of h and its final valueYou are designing a spherical tank as shown in Figure$($Q$1)$ below to hold water

for a small village in a country. The volume of liquid it can hold can be computed

as

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

where $V$ volume $($m$3),h$ depth of water in tank $($m$),$ and $R$ the tank radius $($m$).$

If $R=3m,$ to what depth must the tank be filled so that it holds $30m3?$ Use a

computer software program $($Python$)$ to determine your answer. You are

required to compare bisection method, Newton's method, and Secant method

solutions and recommend one of these software programs with justifications.

Employ initial guesses of $0$ and $R$

Program should show:

initial guess value input

second guess value input

indication of error if the interval inputs are not correct input values.

Tolerance$/$error input

All intermediate values of $h$ and its final value