Problem$-3$ Suppose that you have constructed a simple pendulum made out of a steel string and steel

ball. If the temperature of the room the pendulum is in increases by $16\mathrm{.}0C,$ and if enough time has passed

for the pendulum to reach thermal equilibrium with the room, then:

$($a$)$ What is the percent change in the density of the steel ball?

$($b$)$ What is the percent change in the period of the pendulum?