Find the Area of the Surface Generated by Revolving $x = \frac { 1 } { 3 } t ^ { 3 } , t + 9 \text { about the }$

Multiple Choice

Find the area of the surface generated by revolving the curve $x = \frac { 1 } { 3 } t ^ { 3 } , t + 9 \text { about the }$ $y$ -axis on the interval $3 \leq t \leq 4$ . Round your answer to two decimal places.

A) $1427.12$
B) $1178.96$
C) $1049.37$
D) $589.48$
E) $1898.04$