Calculus A hard problem help please

Question

anonymous · Answer

Sand is falling from a rectangular box container whose base measures 40 inches by 20 inches at a constant rate of 300 cubic inches per minute.

a. How is the depth of the sand in the box changing?

b. The sand is forming a conical pile (V = pi/3r^2h). At a particular moment, the pile is 23 inches high and the diameter of the base is 16 inches. The diameter of the base at this moment is increasing at 1.5 inches per minute. At this moment,

i. how fast is the area of the circular base of the cone increasing?

ii. how fast is the height of the pile increasing?

anonymous · Answer

@dan815 @BSwan  come here to play, friends.

anonymous · Answer

also @Kainui

anonymous · Answer

Wouldn't it depend on the hole the sand is flowing through? Keep in mind that sand doesn't behave like a fluid, so as it would pour out of the box, the volume of sand would resemble a sort of inverted cone:
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