The volume of a sphere is $\frac{d2}{6}.$ If the diameter of a metal sphere increases by $3\%$ due to thermal expansion, how much does the density increase? $($Final answer as a percentage$)$

As a hint, calculate the percent change by dividing the different densities by the initial density, then multiplying by $100.\frac{P_f-P_o}{P_o}*100$