Question

sand is falling forming a conical pile the altitude is always 4/3 the radius of the base. how fast is the volume increasing when the radius of the base is 3ft and is increasing at a rate of 3in/min

Answer 1

Where you having problems?

You need the formula for the conical pile first. Assuming a sphere? or was it a cone? I forgot.

Answer 2

Then the chain rule is needed; I suppose.

Answer 3

setting up to take the derivative. not real sure how to approach

Answer 4

cone