You are designing a spherical tank $($Figure below$)$ to hold water for a small town. The volume of

liquid it can hold can be computed as:

$=$

$2$

$[3]$

$3$

where V $=$ volume $[$m$3$

$],$ h $=$ depth of water in tank $[$m$],$ and R $=$ the tank radius $[$m$].$

If R$=6$ m$,$ what depth must the tank be filled to so that it holds $100$ m$3$

$,$

Determine the depth using the bisection method.