calculus

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The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is the volume changing when the radius is 8 centimeters?
Note: The volume of a sphere is given by 4(pi)r^3

  • calculus -

    So, if V = 4/3 pi r^3

    dV = 4 pi * r^2 dr
    dV = 4 pi * 8^2 * 2
    = 512 pi cc/min

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