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Sagot :
The Method of Cylindrical Shells will be used to assist.
What is Cylindrical Shells?
As previously, we construct a region R that is enclosed on the top by the graph of the function y = f (x), on the bottom by the x axis, and on the left and right by the lines x = a and x = b, respectively (a).
As seen in Figure 1, we then rotate this region around the y-axis (b). Be aware that this is distinct from what we have previously done..
Previously, areas that were described in terms of x-functions were centered on the x-axis or a line that ran parallel to it.
Since the shell is a cylinder, its volume equals the cross-sectional area times the cylinder's height. The cross-sections are annuli, which are essentially circles with holes in the middle and are formed like rings.
According to our question-
V= 2π ∫025/2 x [ 5 - √(2x) ] d x = 625π/ 4 cubic units
USING THE WASHER METHOD
V = ∫05 π (1/4) y4 d y = 625π/ 4 cubic units
Hence, The Method of Cylindrical Shells will be used to assist.
Learn more about Cylindrical Shells click here:
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