SOLUTION: A spherical ballon is being filled with air at a constant rate of 2cm^3 per second. By using the chain rule dr/dt equals to 1/2(pi)(r^2) where t is in seconds. Find The rate at whi

Question 1142721: A spherical ballon is being filled with air at a constant rate of 2cm^3 per second. By using the chain rule dr/dt equals to 1/2(pi)(r^2) where t is in seconds. Find The rate at which the radius is increasing when r=54
Answer by ikleyn(52896) (Show Source): You can put this solution on YOUR website!
.

What is written in the post - is INCORRECT.

The volume of a sphere   V(r) = ,  as EVERYBODY knows.


From the formula,   = . = . = ..


Substitute here   = 2 cm^3/s,  which is given.  You will get


                 2 = .,


hence,


                 = ,


totally different from what is written in your post.

==================

To get the answer to your question, simply substitute r= 54 into my last formula.

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