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math

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The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At the instant when the surface area S becomes 100pi square inches, what is the rate of increase, in cubic inches per second, in the volume V?

  • math -

    V = 4/3 pi r^3
    dV/dt = 4pi r^2 dr/dt
    = A dr/dt
    plug in the values given:

    dV/dt = 100pi * .3 = 30pi

  • math - extra credit -

    what is the volume of a cylinder of mozarella cheese, with radius z, and height a?
    (don't use any exponents in your answer)

  • math -

    V = pir^2h
    V = pizza
    :)

  • math -

    22.5

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