#$&*
course Mth 271
If a sand pile 4 meters high has a mass of 146000 kg, then what would we expect to be the mass of a geometrically similar sand pile 14 meters high? Using the differential estimate the mass of sand required to increase the height of the pile from 4 meters to 4.03 meters.
146 000 = a 4^3
146 000 = a 64
a = 2281.25
y = 2281.25 * 14^3 = 6 259 750 kg
y = 2281.25 * 4.03^3 = 149 309.6991
needs to increase by 149 309.6991 - 146 000 = 3309.699094
"
@& You didn't use the idea of the differential to estimate the change in mass.
What is the derivative of your volume function
y = 2281.25 * x^3?
If x changes by .03 meters, at the rate given by your derivative, then by how much does y change (based on that rate and the change in x)?
&#Please see my notes and, unless my notes indicate that revision is optional, submit a copy of this document with revisions and/or questions, and mark your insertions with &&&& (please mark each insertion at the beginning and at the end).
Be sure to include the entire document, including my notes.
If my notes indicate that revision is optional, use your own judgement as to whether a revision will benefit you. &#
*@