Volumes of solids Use a triple integral to find the volume of thefollowing solid. The wedge of the cylinder x2 + 4z2 = 4 created by the planesy = 3 - x and y = x - 3

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. y = x² + 8 y = -x² + 2x + 12 x = 0 x = 3 Step 1 To find the point(s) of intersection of the curves y = x² + 8 and y = -x² + 2x + 12, equate both equations and solve. (x - x² - 2x - x² - x - )(x + x² + 8 = -x² + 2x + 12 = 0 = 0 ) = 0 X = ,X = -

use cylindrical coordinates to find the volume of the solid. Solid inside both x2 + y2 + z2 = 36 and (x − 3)2 + y2 = 9

Let V denote the volume of the tetrahedron with vertices (7,0,0), (0,6,0), (0,0,10) and (0,0,0). Calculate the volume of the tetrahedron. V=