Use the shell method to find the volume of the solid generated by revolving the plane region bounded by
$y = 4 x ^ { 2 } , y = 10 x - x ^ { 2 }$, about the line $x = 2$
A) $\frac { 40 \pi } { 3 }$
B) $\frac { 80 \pi } { 3 }$
C) $40 \pi$
D) $20 \pi$
E) $\frac { 20 \pi } { 3 }$

Question

Use the shell method to find the volume of the solid generated by revolving the plane region bounded by 
$y = 4 x ^ { 2 } , y = 10 x - x ^ { 2 }$, about the line $x = 2$
A) $\frac { 40 \pi } { 3 }$
B) $\frac { 80 \pi } { 3 }$
C) $40 \pi$
D) $20 \pi$
E) $\frac { 20 \pi } { 3 }$

Quizplus · Accepted Answer

The correct answer is A because the volume of the solid generated by revolving the plane region bounded by $y = 4 x ^ { 2 } , y = 10 x - x ^ { 2 }$, about the line $x = 2$ is $\frac { 40 \pi } { 3 }$.

Use the Shell Method to Find the Volume of the Solid