Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.
-About the $y$-axis
$y = 3 x - x ^ { 2 }$
A) $\frac { 27 } { 2 } \pi$
B) $\frac { 27 } { 4 } \pi$
C) $\frac { 81 } { 8 } \pi$
D) $\frac { 81 } { 4 } \pi$

Question

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.
-About the $y$-axis
 $y = 3 x - x ^ { 2 }$
A) $\frac { 27 } { 2 } \pi$ 
B) $\frac { 27 } { 4 } \pi$ 
C) $\frac { 81 } { 8 } \pi$ 
D) $\frac { 81 } { 4 } \pi$

Quizplus · Accepted Answer

The Answer of Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.
-About the $y$-axis
 $y = 3 x - x ^ { 2 }$
A) $\frac { 27 } { 2 } \pi$ 
B) $\frac { 27 } { 4 } \pi$ 
C) $\frac { 81 } { 8 } \pi$ 
D) $\frac { 81 } { 4 } \pi$

Use the Shell Method to Find the Volume of the Solid