1. Sketch the region bounded by the curves y=6x^3 , y=6andx=0 then find the volume of the solid generated by revolving this region about the x-axis.

A. 224/7

B. 237/7

C.209/7

D. 230/7

E. 216/7

2. Sketch the region bounded by the curves y=9x , x+y=10andy=6 then find the volume of the solid generated by revolving this region about the x-axis.

A. 159/2

B. 157/2

C.151/2

D.153/2

E.155/2

3. Sketch the region bounded by the curves x=y^2/2andx=y+3/2 then use the shell method to find the volume of the solid generated by revolving this region about the y-axis.

A. 302/15

B.272/15

C. 332/15

D. 257/15

E.317/15

4. Sketch the region bounded by the curves x=y^3/2 , x=4,andy=0 then find the volume of the solid generated by revolving this region about the y-axis.

A. 206/7

B. 213/7

C.185/7

D.220/7

E.192/7