m Question 3 0/ 34 pts A truck is dumping sand into a conical pile at the rate of 30 cubic meters per second and so that the height of the pile is always equal to twice the radius of the base of the pile. At what rate is the height of the sand pile changing when the radius of the base of the pile is 10 meters? The volume of a cone is V : %7r'r2h. ICU . . '_ 'i'iEtE"E~ per second % meters per second L meters per second 3 L] -.-.- ITiEEEI'S DEI' SECOI id '1 Remove h from the equation using the substitution h=2r. Then differentiate implicitly and substitute in the given values for dV and r. cit