The area bounded by the curve y = VT, the y-axis and the line y = 2 is revolved about the line y = 2. Using a horizontal element, the integral for its volume is O V = 27 (2 – y) y²dy OV = 27 (2 – y) (4 – y²) dy OV = 27 f (4 – y²) dy Ov = T ff (2 – V)²dæ

Elementary Geometry For College Students, 7e
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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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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The area bounded by the curve y = VT, the y-axis and the
line y = 2 is revolved about the line y = 2. Using a horizontal
element, the integral for its volume is
O V = 27 S (2 – y) y²dy
Ov = 27 (2 – y) (4 – y²) dy
OV = 27 S (4 – y²) dy
Ov = = (2 – Va°dz
Transcribed Image Text:The area bounded by the curve y = VT, the y-axis and the line y = 2 is revolved about the line y = 2. Using a horizontal element, the integral for its volume is O V = 27 S (2 – y) y²dy Ov = 27 (2 – y) (4 – y²) dy OV = 27 S (4 – y²) dy Ov = = (2 – Va°dz
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