1) Use cylindrical shells to find the volume of the solidobtained by rotating the region bounded by y=x^2, y=0, and x=5,about the y-axis.
V=
2) Use cylindrical shells to find the volume of the solidobtained by rotating the region bounded by y=x^2, y=0, and x=6,about the yy-axis.
V=
3)The region bounded by f(x)=?3x^2+15x+18f(x)=-3x2+15x+18,x=0x=0, and y=0y=0 is rotated about the y-axis. Find thevolume of the solid of revolution.
Find the exact value; write answer without decimals.
4) Use cylindrical shells to find the volume of the solidobtained by rotating the region bounded on the right by the graphof g(y)=4/y and on the left by the y-axis for 1?y?11, about thex-axis. Round your answer to the nearest hundredth position.
V=
