A $8$cm diameter sphere made of Aluminium $($pure$)$ was initially

at $34$oC and then suddenly put in a pre$-$heated oven maintained

at $170$oC for $35$minutes. The convection coefficient is $559$

W$/$m$2$

$.$K The task is considered complete if center of the sphere

has reached $65$oC$,$ Answer the following;

$1.$ Was the $35$min sufficient to reach the $65$oC

$2.$ How long should be left in the oven to reach the $65$oC

$3.$ What was the total amount of energy transferred to the

sphere in the $35$min?