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V=4/3 pi r ^3 is the formula for the volume of a sphere. Find dV for a sphere if the radius of 10" is increased by .1"

Please help. I have no idea how to do this problem!

  • Calculus -

    dV/dr = 4π r^2
    dV = (4πr^2)(dr)
    sub in r = 10 and dr = .1
    dV = 4π(100)(.1) = 40π

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