Find the Length of the Curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + 4 \cos t \mathbf { j } + 4 \sin t \mathbf { k } , 0 \leq t \leq 2 \pi$

Multiple Choice

Find the length of the curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + 4 \cos t \mathbf { j } + 4 \sin t \mathbf { k } , 0 \leq t \leq 2 \pi$
Select the correct answer.

A) $2 \sqrt { 5 } \pi$
B) $4 \sqrt { 5 } \pi$
C) $2 \sqrt { 6 } \pi$
D) $\sqrt { 6 } \pi$