Sand is pouring out of a pipe and is forming a conical pile on the ground.

The radius of the pile is increasing at a rate of 4 meters per day.

The height is always $\displaystyle \frac{{1}}{{3}}$ of the radius.



When the pile has a radius of 16 meters,

a) the Volume is cubic meters

b) the rate of change of the VOLUME is cubic meters per day..

Write your answers as decimal numbers rounded to 2 decimal places.