Calculus 6.3

1.

Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on the right '3' by the graph of 9'ny = and on the left by the y-axis for 4 E y 1': ll], about the {asaxis. Round your y answer to the nearest hundredth position. Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the graphs of y = I, y = 2 I, and the z-axis about the Iaxis. Use cylindrical shells to find the volume of the solid generated by rotating the curve y 2 311.1(3) about the z-axis for 1 i: a: E E. Use cylindrical shells to find the volume of the solid generated by rotating the curve y = 3111(3) about the E-axis for 1 E a: E E. A solid is constructed so that one side is the region between the lines @ = a, c = b, the graph of y = f(@ ) and the x-axis, and y=f(x) the cross-sections of the solid perpendicular to the x-axis are isosceles right triangles, as shown in the figure. X Which of the following integrals represents the volume of this a solid? b each slice is a right O n(f(x) ) dx triangle with base = height b o / n(f(x) ) dx (f(x) )' dx D b (f (x) ) dx