January 14th, 2011, 07:18 AM  #1 
Newbie Joined: Jan 2011 Posts: 17 Thanks: 0  Surface area and volume
Gas is being pumped into a spherical balloon at the rate of 100 cubic centimeter per min. When the radius is 10 cm, the surface area changed at a rate of ??? ANS  20 square centimeter per minute Thanx for reading 
January 14th, 2011, 08:08 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,932 Thanks: 1127 Math Focus: Elementary mathematics and beyond  Re: Surface area and volume rate of change of volume with respect to time. rate of change of radius with respect to time. rate of change of surface area with respect to time (what we want to compute). Formula for volume of sphere: Formula for surface area of sphere: With radius at 10 cm., calculate dr/dt using derivative of formula for volume: With radius at 10 cm., calculate ds/dt using derivative of formula for surface area: 
January 14th, 2011, 08:18 AM  #3 
Senior Member Joined: Jan 2009 Posts: 344 Thanks: 3  Re: Surface area and volume
This should be in calculus not in geometry substituting 10cm for r we have 
January 14th, 2011, 11:30 AM  #4  
Global Moderator Joined: Dec 2006 Posts: 20,484 Thanks: 2041  Quote:
should be in greg1313's last line.  

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