Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
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:
https://brainly.com/question/29571046
#SPJ4
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
