84. The base of a solid S is the region enclosed by the graph of y = (lnx)^(1/2), the line x = e, and thex-axis. If the cross sections of S perpendicular to the x-axis are squares, then the volume of S is
(A)12
(B)23
(C) 1
(D) 2
(E)13(e3-1)
84. The base of a solid S is the region enclosed by the graph of y = (lnx)^(1/2), the line x = e, and thex-axis. If the cross sections of S perpendicular to the x-axis are squares, then the volume of S is
(A)12
(B)23
(C) 1
(D) 2
(E)13(e3-1)
The formula is,Originally Posted by frozenflames
. Thus, you need to find a function for the area of each cross section . Since, the base is its height is also that because it forms square cross sections. Since, the area of the square is the sides squared we have . Now find the the problem says from the x-axis until x=e. To find the x-axis find when it is zero. Thus, which happens at . Thus,