Find the arc length parameter along the given curve from the point where t=0 by evaluating the integral s(t) = $\int_{0}^{t} |v(\tau)| d\tau$. Then find the length of the indicated portion of the curve
r(t) = 5cost i + 5sint j + 10tk, where 0 ≤ t ≤ $\frac{\pi}{6}$.
The arc length parameter along the curve, starting at t = 0 is s(t) = $\boxed{5\sqrt{2}t}$.
(Type an exact answer, using radicals as needed.)
The length of the indicated portion of the curve is L = $\boxed{\frac{5\sqrt{2}\pi}{6}}$.
(Type an exact answer, using radicals and as needed.)
