Answer using python A jeweler is designing a metal bead that is sphere$-$shaped with a hole drilled through the center to the opposite side. The bead has radius $r$ millimeters and the hole has a radius of $1$ millimeter.

Answer both a and b using python

$($a$)$ Find the volume $V(r)$ of the bead given radius $r,$ using an integral, rotating around the axis parallel to the hole. Hint: there are two valid ways of setting this up$.$

$($b$)$ Suppose the jeweler needs the bead to be made of exactly $140$ cubic millimeters of metal. Find the radius $r$ needed for such a bead. Give your answer as a decimal approximation using evalf$($ Answer both a and b in python lab