The surface given is a cone defined by \( z = \sqrt{x^2 + y^2} \) with \( 0 \leq z \leq 1 \). We can parameterize this surface using cylindrical coordinates where \( x = r\cos\theta \), \( y = r\sin\theta \), and \( z = r \). Here, \( r \) varies from 0 to 1 and
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