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Math Help - Calc 1 chapter 1 - Easy for you

  1. #1
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    Calc 1 chapter 1 - Easy for you

    Course & Textbook Calculus Essential Calculus Early Transcendentals - Newest edition Chapter 1.1 Problem 18

    Question Details:
    A spherical balloon with radius r inches has volume V(r) = 4/3?(r^3). Find a function that represents the amount of air required to inflate the balloon from a radius of r inches to a radius of r+1 inches.

    I gotta be dumb but I'm not certain how to carry through the cube cause I don't have the solution.
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  2. #2
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    All you need is a function that gives you the new air you need to put in. You need the volume of a sphere of radius r+1 that is not in a sphere of radius r, i.e. the difference between them.
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