EXERCISE 9.9

. Find, by integration, the volume of the solid generated by revolving about the x -axis, the region enclosed by y = , y = and x = . . Find, by integration, the volume of the solid generated by revolving about the x -axis, the region enclosed by y − y = , x = and x = .

Find, by integration, the volume of the solid generated by revolving about the y -axis, the region enclosed by x = + and y = . . The region enclosed between the graphs of y and y is denoted by R , Find the volume generated when R is rotated through ° about x -axis. .

Find, by integration, the volume of the container which is in the shape of a right circular conical frustum as shown in the Fig . . . A watermelon has an ellipsoid shape which can be obtained by revolving an ellipse with major-axis cm and minor-axis cm about its major-axis.

Find its volume using integration. EXERCISE . Choose the correct or the most suitable answer from the given four alternatives : . The value of is ( ) p ( ) p ( ) p ( ) p y = x =