Find the mass of a spring in the shape of the helix defined parametrically by $$ x=6 \cos (t), y=6 t $$, $$ z=6 \sin (t) $$, for $$ 0 \leq t \leq 10 \pi $$, with density $$ \rho(x, y, z)=6 y $$. $$ 10803 \pi / 2^{2} \sqrt{7} $$ ( $$ 10797 \pi / 2^{2} \sqrt{3} $$ $$ 10800 \pi^{2} \sqrt{2} $$ $$ 10796 \pi^{2} \sqrt{2} $$

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Higgins Donnelly · Accepted Answer

The mass of the spring is $$ 10800 \pi^2 \sqrt{2} $$.

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