July 10th, 2012, 03:45 AM  #1  
Senior Member Joined: Jan 2010 Posts: 205 Thanks: 0  Rate problem Quote:
Volume of a sphere in terms of diameter: Rate of volume: Rate of diameter: I'm not sure what to do at this point  
July 10th, 2012, 05:14 AM  #2 
Math Team Joined: Nov 2010 From: Greece, Thessaloniki Posts: 1,990 Thanks: 133 Math Focus: pre pre pre pre pre pre pre pre pre pre pre pre calculus  Re: Rate problem [color=#000000] when d=10cm at the time instant then [/color] 
July 10th, 2012, 05:28 AM  #3 
Senior Member Joined: Jan 2010 Posts: 205 Thanks: 0  Re: Rate problem
ZardoZ, how were you able to just put in (time) into the equation of the volume? I don't see how you can get the function Volume(time)

July 10th, 2012, 11:02 AM  #4  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: Rate problem Hello, daigo! Quote: I would put everything in terms of the radius, and switch to the diameter at the end.  
July 10th, 2012, 11:11 AM  #5 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Rate problem
You correctly found the volume V as a function of the diameter d is: Differentiate with respect to time t: We are given: hence: Thus, we find: And so: 

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