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Posted: October 21st, 2021
radius, calculus homework help
Question description
A spherical balloon with radius r inches has a volume V(r)=4/3(pi)r(cubed).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.:Find the difference in their volumesd(r) = - :Multiply (r+1)(r+1)(r+1)d(r) = - ;Factor out Why does the (4/3)pi that was being multiplied to r^3 get factored out here and not the one in front?d(r) = [r^3 + 3r^2 + 3r + 1 - r^3]:d(r) = [3r^2 + 3r + 1]; cu/in of air to be addedAgain my question is, why does the (4/3)pi that was being multiplied to r^3 get factored out here and not the one in front?
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