Volume cut off from the sphere by the cone using cylindrical polar coordinates

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Find the volume cut off from the sphere ${x^2}+{y^2}+{z^2}={a^2} $ by the cone ${x^2 }+{y^2} ={z^2}$ using cylindrical polar coordinates?

I know there will be a dual cone but I am not able to write the limits in the cylindrical polar form.