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c. The volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4√/2 32π 2 and x = 0 about the line y = 4√√2 is cubic units.

c. The volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4√/2 32π 2 and x = 0 about the line y = 4√√2 is cubic units.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4√2 and x = 0 about a. the x-axis. b. the y-axis. c. the line y = 4√2. d. the line x = 2. a. The volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4√2 and x = 0 about the x-axis is 32+ cubic units. (Type an exact answer, using and radicals as needed, or type the answer as a decimal rounded to the nearest tenth.) b. The volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4₁ = 4√√/2 16π√2 5 and x = 0 about the y-axis is (Type an exact answer, using and radicals as needed, or type the answer as a decimal rounded to the nearest tenth.) cubic units. c. The volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4√2 32π 2 and x = 0 about the line y = 4√2 is (Type an exact answer, using and radicals as needed, or type the answer as a decimal rounded to the nearest tenth.) cubic units.
Transcribed Image Text:Find the volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4√2 and x = 0 about a. the x-axis. b. the y-axis. c. the line y = 4√2. d. the line x = 2. a. The volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4√2 and x = 0 about the x-axis is 32+ cubic units. (Type an exact answer, using and radicals as needed, or type the answer as a decimal rounded to the nearest tenth.) b. The volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4₁ = 4√√/2 16π√2 5 and x = 0 about the y-axis is (Type an exact answer, using and radicals as needed, or type the answer as a decimal rounded to the nearest tenth.) cubic units. c. The volume of the solid generated by revolving the region bounded by y = 4√√x and the lines y = 4√2 32π 2 and x = 0 about the line y = 4√2 is (Type an exact answer, using and radicals as needed, or type the answer as a decimal rounded to the nearest tenth.) cubic units.
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