Question

1) Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y=x^2, y=0, and x=5, about the y-axis.

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2) Use cylindrical shells to find the volume of the solid obtained 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 the volume of the solid of revolution.

Find the exact value; write answer without decimals.

4) Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on the right by the graph of g(y)=4/y and on the left by the y-axis for 1≤y≤11, about the x-axis. Round your answer to the nearest hundredth position.
V=

Answer 1