Calculus

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The volume of a spherical cancerous tumor is given by the following equation.
V(r) = (4/3)pi r^3
If the radius of a tumor is estimated at 1.4 cm, with a maximum error in measurement of 0.003 cm, determine the error that might occur when the volume of the tumor is calculated.
cm3

  • Calculus -

    v = 4/3 pi r^3
    dv = 4pi r^2 dr
    So, plug in your values:
    r=1.4
    dr = 0.003

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