Find the Exact Mass of a Thin Wire in the Shape

question 57

Multiple Choice

Find the exact mass of a thin wire in the shape of the helix $x = 2 \sin ( t ) , y = 2 \cos ( t ) , z = 3 t , 0 \leq t \leq 2 \pi$ if the density is 5 .

• A) \(8 \sqrt { 10 } \pi ^ { 2 }\)
• B) \(\sqrt { 13 } \pi\)
• C) \(10 \sqrt { 13 } \pi\)
• D) \(4 \sqrt { 13 }\)
• E) \(10 \sqrt { 13 }\)

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