You've been asked to calculate the mass of a conical pile of sawdust measuring 8 meters high with a base radius of 4 meters. From experimental measurements, you've been able to determine that the density of the sawdust depends upon the depth, $\displaystyle {d}$, of the sawdust in meters, according to the equation $\displaystyle \rho{\left({d}\right)}={150}+{30}{d}$ kg/m³. Find the mass of the pile.

kg