the dimension of a rectangular tank are 50m x 16m x 60m. at a certain instant, the tank begins to drain. find the rate at which the volume of water is drained if the depth of water is changing at a rate of 12m/minute.

-1,920 m^3/min
-6,000 m^3/min
-8,000 m^3/min
-9,600 m^3/min

Question

the dimension of a rectangular tank are 50m x 16m x 60m. at a certain instant, the tank begins to drain. find the rate at which the volume of water is drained if the depth of water is changing at a rate of 12m/minute.

-1,920 m^3/min
-6,000 m^3/min
-8,000 m^3/min
-9,600 m^3/min

anonymous · Answer

-9600 cu meters / minute
Refer to the Mathematica 9 attachment.