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MATHEMATICS - CASE STUDY

    Introduction


Enlarging Balloon
 

In order to decorate a living room for a birthday party, Alice is pumping air into balloons. She is curious about the balloons' surface rate of change when the radius of the balloon is 10 cm.

What is known:

  • The rate of air being pumped into a balloon is 8 cm3/sec.
  • The radius is 10 cm.
   
  Questions

 

What is the surface rate of change of the balloon?

     
    Approach

 

This problem needs to find the surface area changes with respect to time.