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Homework Statement
I am 99% positive I did a) correctly, as the answer is correct according to the answer in the back of my textbook. However, I cannot do b).
The question: A spherical balloon is being inflated. Find the rate of change of the surface area with respect to the radius when:
a) The radius is 5cm
b) The surface area is 200cm2
The attempt at a solution
a) 8[itex]\pi[/itex]*5cm
=125.66 cm2/cm (or 40[itex]\pi[/itex] cm2/cm)
b) I am unsure of what to do for this. Is it something like:
[itex]\sqrt{}200/4\pi[/itex]
=3.9894
And then do something else, which I don't know what that is.
The answer to this question, according to the book, is 100.27cm2/cm
Sorry if the equations don't look very clear. This is my first post and I will learn how to write it all up neatly when I am not so tired.
I am 99% positive I did a) correctly, as the answer is correct according to the answer in the back of my textbook. However, I cannot do b).
The question: A spherical balloon is being inflated. Find the rate of change of the surface area with respect to the radius when:
a) The radius is 5cm
b) The surface area is 200cm2
The attempt at a solution
a) 8[itex]\pi[/itex]*5cm
=125.66 cm2/cm (or 40[itex]\pi[/itex] cm2/cm)
b) I am unsure of what to do for this. Is it something like:
[itex]\sqrt{}200/4\pi[/itex]
=3.9894
And then do something else, which I don't know what that is.
The answer to this question, according to the book, is 100.27cm2/cm
Sorry if the equations don't look very clear. This is my first post and I will learn how to write it all up neatly when I am not so tired.