An ore sample weighs $17\mathrm{.}5[$N$]$ in air. When the sample is suspended by a lightcord and totally immersed in water $($water $=1000[$kg$/$m$3]),$ the tension in the cord is $11\mathrm{.}2[$N$].$a$.$ What is the magnitude of the buoyant force acting on the sample? $[2$ pts$.]$b$.$ What is the volume of the sample? $[2$ pts$.]$c$.$ What is the density of the ore sample? $[2$ pts$.]$