Use the Shell Method to Find the Volume of the Solid

question 74

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves
about the given lines.
- $y = 4 x , \quad y = x ^ { 2 }$ ; revolve about the $y$ -axis

• A) \(\frac { 64 } { 3 } \pi\)
• B) \(\frac { 896 } { 3 } \pi\)
• C) \(- \frac { 128 } { 3 } \pi\)
• D) \(\frac { 128 } { 3 } \pi\)