Problem #$5($Show Work to get credit$)(65$ Points$)$

A solid, insulating sphere of radius a has a uniform charge density throughout it volume and a total charge Q$.$ Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and out radii are b and c as shown below. We wish to understand completely the charges and electric fields at all locations. $($a$)$ Find the charge contained within a sphere of radius $rrrb.$ What $is$ the magnitude $of$ the electric field for this range $of$ values? $(10$ points$)(f)$ From this value, what must $be$ the charge $on$ the inner sphere? $(10$ points$)(g)$ From part $(f),$ what must $be$ the charge $on$ the surface $of$ the outer sphere? $(5$ points$)a.(10$ points$)(e)$ Now consider $r$ when $b.$ What $is$ the magnitude $of$ the electric field for this range $of$ values? $(10$ points$)(f)$ From this value, what must $be$ the charge $on$ the inner sphere? $(10$ points$)(g)$ From part $(f),$ what must $be$ the charge $on$ the surface $of$ the outer sphere? $(5$ points$)a.(10$ points$)(d)$ From this value find the magnitude $of$ the electric field $in$ this region $a.(10$ points$)(e)$ Now consider $r$ when $b.$ What $is$ the magnitude $of$ the electric field for this range $of$ values? $(10$ points$)(f)$ From this value, what must $be$ the charge $on$ the inner sphere? $(10$ points$)(g)$ From part $(f),$ what must $be$ the charge $on$ the surface $of$ the outer sphere? $(5$ points$)r.(10$ points$)(c)$ What charge $is$ contained within a sphere $or$ radius $r$ when $a.(10$ points$)(d)$ From this value find the magnitude $of$ the electric field $in$ this region $a.(10$ points$)(e)$ Now consider $r$ when $b.$ What $is$ the magnitude $of$ the electric field for this range $of$ values? $(10$ points$)(f)$ From this value, what must $be$ the charge $on$ the inner sphere? $(10$ points$)(g)$ From part $(f),$ what must $be$ the charge $on$ the surface $of$ the outer sphere? $(5$ points$)$