Changing rates question

: 131.151 Calculus 1 for Engineers: Changing rates question
   By Anonymous on Sunday, December 11, 2005 - 10:59 pm: Edit Post

hi sasho i noticed that this question is on all the exams and im having a little trouble on it
number 4 on this exam:http://www.umanitoba.ca/student/exams/site/data/136151-041000-F-1903590565.pdf


   By Sasho on Monday, December 12, 2005 - 08:04 am: Edit Post

Start with S=4 Pi r2 and differentiate with respect to time. Get dS/dt=4 Pi 2r dr/dt; now substitute dS/dt and r at the given moment to compute dr/dt.

Then start with the volume formula V=(4/3)Pi r3 and again differentiate with respect to time; get dV/dt = (4/3)Pi 3r2 dr/dt; now substitute r at the moment (given) and dr/dt (found in the first part of the solution.)


   By Anonymous on Monday, December 12, 2005 - 03:09 pm: Edit Post

is the answer to the question 6 m^3/sec


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