The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about the y-axis. The volume of the resulting solid is: 16 π (4-√) dy 75 ¹6 (16-y) dy 16 O ¹6 π (16-x²) dx Jo ⒸS₁ Tx² dx

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...
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The region in the first quadrant between the x-axis and y = x² from x =
resulting solid is:
O f16 π (4-√) dy
ㅠ
5.16 π (16 — y) dy
16
○ ¹6 π (16 — x²) dx
ㅠ
Ⓒ S x² dx
= 0 to x = 4 is rotated about the y-axis. The volume of the
Transcribed Image Text:The region in the first quadrant between the x-axis and y = x² from x = resulting solid is: O f16 π (4-√) dy ㅠ 5.16 π (16 — y) dy 16 ○ ¹6 π (16 — x²) dx ㅠ Ⓒ S x² dx = 0 to x = 4 is rotated about the y-axis. The volume of the
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