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WebGraphing.com Forum » List all forums » Forum: Calculus Homework Help » Thread: Calc 1 - Chapter 1 - Easy for you |
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Total posts in this thread: 2 |
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Big_A
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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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pskinner
Joined: Apr 2, 2005 Posts: 694 Status: Offline |
Ok, so V(r)=(4/3)*pi*r^3. That's the volume of air with a radius of r. Next, V(r+1)=(4/3)*pi*(r+1)^3 is the volume of air with a radius of r+1. So, you want: V(r+1)-V(r). The rest--simplification after substitution--is a matter of algebra. ---------------------------------------- Principal Skinner |
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Re: Calc 1 - Chapter 1 - Easy for you