# 12.Sand falls from a conveyor belt at a rate of 14 m2 /min onto the top of a conical pile. The height of the pile is alwayscm min when the height is 4 mThe height is changing at a rate of(Type an exact answer, using t as needed.)three-eighths of the base diameter. How fast are the height and the radius changing when the pile is 4 m high?cm/min when the height is 4 m.The radius is changing at a rate of(Type an exact answer, usingas needed.)

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Step 1

Volume of a conical pile having radius r and height h is given by:

Step 2

And it is given that height of pile is three-eighths of diameter that is,

Step 3

Now, since the sand is falling at a rate of 1...

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