(19) 3. A region in the xy-plane consists of the points inside the triangle vertices (2, 1), (2, 4), (3, 1). a) This region is rotated about y axis. i) Draw a sketch of the region, showing a typical rectangular strip. y (2, 1) (2, 4) ( 3, 1 ) ii) Write the integral needed to find the volume. Use Maple or your graphing calculator to evaluate the integral. b) Find the volume of the solid obtained by rotating the region above about the line x =3. Write the integral needed to find the volume. Use Maple or your graphing calculator to evaluate the integral