1. The Shell Method
Section 7.3

2. Find the Volume
Use the disk/washer method to find the volume of the solid generated by revolving the plane region about the y-axis.
Region bounded by 𝑦=4𝑥− 𝑥 2 and 𝑦=0.

3. Shell Method

4. Find the Volume
Use the SHELL method to find the volume of the solid generated by revolving the plane region about the y-axis.
Region bounded by 𝑦=4𝑥− 𝑥 2 and 𝑦=0.

5. Find the Volume
Find the volume of the solid of revolution formed by revolving the region bounded by the graph of 𝑥= 𝑒 − 𝑦 2 and the y-axis about the x-axis.

6. Find the Volume
Find the volume of the solid formed by revolving the region bounded by the graphs of 𝑦= 𝑥 3 +𝑥+1, 𝑦=1, and 𝑥=1 about the line 𝑥=2.

7. Finding Volume
Find the volume of the solid formed by revolving the plane region about the given line.
𝑦= 𝑥 2 , 𝑦=4𝑥− 𝑥 2 about the line 𝑥=2