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Multivariable CalculusEasyChange of Variables & the Jacobian

Change of Variables & the Jacobian · Easy problem

Use cylindrical coordinates, with volume element dV=r dr dθ dzdV = r\,dr\,d\theta\,dz, to compute the volume of the solid 0≤r≤20 \le r \le 2, 0≤θ≤2π0 \le \theta \le 2\pi, 0≤z≤30 \le z \le 3.