A thin spherical shell of internal diameter $1\mathrm{.}5$ m and of thickness $8$ mm is subjected to an internal pressure of $1\mathrm{.}5$ N$/$mm$2.$ Determine the increase in diameter and increase in volume. Take E $=2\backslash$times $105$ N$/$mm$2$ and $=0\mathrm{.}3$

$[$Ans$.0\mathrm{.}369$ mm$,1304\backslash$times $103$ mm$3]$