3. Let R be the region bounded by the graphs of y = (x-4)² and y = 6 − x. https://www.geogebra.org/calculator/cn92gycv The volume of the solid formed by revolving R around the y-axis is

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.

4. Sketch the graphs of y = 4 + (x)", x = 9 and y = 4. Shade the region bounded by the curves. Find the volume of the solid that is formed by revolving the region shaded about (a) the x-axis (b) the y-axis.

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = x2 + 3 y = -x2 + 2x + 7 X = 0 X = 3

2. Sketch the graph and shade the region enclosed by the curves y = x² and x axis from x-01 x=2. Find the volume of the solid generated by revolving the shaded region about the line y = 5

3. Region R is a first quadrant region bounded by f(x) = x², the y axis and the line y = 4. The volume of the solid formed when region R is rotated about the y axis is 16T (B) 3 32л (D) 3 64n (E) 3 (А) 4л (C) 87

Find the volume of the solid of revolution generated by revolving the region in the first quadrant bounded by the x-axis and the graph of  y = 6x − x2 about the following.   Part 1.) the line x=7   Part 2.) the y=9