Question: A fly is crawling along a wire helix so that its position vector is r(t) = 6 cos t i + 6 sin t j

A fly is crawling along a wire helix so that its position vector is r(t) = 6 cos πt i + 6 sin πt j + 2t k, t ≥ 0. At what point will the fly hit the sphere x2 + y2 + z2 = 100. And how far did it travel in getting there (assuming that is started when t - 0)?

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