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March 27, 2017

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Express the volume of a sphere as a function of its radius. What is the domain of this function? Does this function have an inverse? If so what is it?

  • Math - ,

    Volume of a sphere V=(4*Pi)/3*r^3
    Domain all real numbers you can cube any real number and multiply it by another real number.
    This is a one to one cubic with an inverse.
    Solve for v in r=(4*Pi)/3*v^3 to find it.
    It is v= (1/4)* (3^1/3)*(4^2/3)*(r/Pi)^1/3

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