1: Find the volume of the solid obtained by rotating the region bounded by y = a" , y = 0, and = = 5, about the y-axis. V = 2: Find the exact value of the volume of the solid obtained by rotating the region bounded by y = 2\\x, x = 0, and y - 3, about the y-axis. V = 3: Determine the volume of the solid generated by rotating function f(x) = /T about the x-axis bounded by x = 2 and = = 5 Volume = 4: Suppose that R is the finite region bounded by fix) = vx and g(x) - 7. Find the exact value of the volume of the object we obtain when rotating R about the r-axis. V = Find the exact value of the volume of the object we obtain when rotating R about the y-axis. V = 5: Determine the volume of the solid generated by rotating function f (x) = about the x-axis bounded by r = 4 and : = 7 Volume =6: Find the volume formed by rotating about the y-axis the region enclosed by: x = 3y and y's = x with y 2 0 7: Suppose that R is the finite region bounded by y = x, y = x + 3, x = 0, and x = 4. Find the exact value of the volume of the object we obtain when rotating R about the r-axis. V The graph of y = f(x) between the lines x = a and * = b is Top: y=f(x) rotated around the line y = 3 to form a solid, as shown in the Line: y= K figure (where K = 3). Which of the following integrals represents the volume of this solid? K each slice is a circle [ * (f(2 ) - 3 ) ? do 2xx[f (x) - 3 dx9: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x = 0, y = 1, x = y , about the line y = 1. 10: Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = =", y = 1 about y = 4