The integral represents the volume of a solid of revolution. 2T X° 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 43E: A frustum of a cone is the portion of the cone bounded between the circular base and a plane...
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The integral represents the volume of a solid of revolution.
12
27
x dx
(a) Identify the plane region that is revolved.
O plane region bounded by x = y,
X = 0,
y = 0,
y = 2
O plane region bounded by y = x²,
y = 4,
y = 0,
X = 0
O plane region bounded by y = x',
y = 4,
y 0,
1/2
O plane region bounded by y = x²,
y = 0,
X = 0,
x = 2
O plane region bounded by y = x´,
y = 0,
x = 0,
x = 2
O plane region bounded by y = x°,
y = 0,
x = 0,
x = 2
(b) Identify the axis of revolution.
O revolved around the line y = 2
O revolved around the line y = 4
O revolved about the x-axis
O revolved around the line x = 2
O revolved around the line x = 4
O revolved about the y-axis
Transcribed Image Text:The integral represents the volume of a solid of revolution. 12 27 x dx (a) Identify the plane region that is revolved. O plane region bounded by x = y, X = 0, y = 0, y = 2 O plane region bounded by y = x², y = 4, y = 0, X = 0 O plane region bounded by y = x', y = 4, y 0, 1/2 O plane region bounded by y = x², y = 0, X = 0, x = 2 O plane region bounded by y = x´, y = 0, x = 0, x = 2 O plane region bounded by y = x°, y = 0, x = 0, x = 2 (b) Identify the axis of revolution. O revolved around the line y = 2 O revolved around the line y = 4 O revolved about the x-axis O revolved around the line x = 2 O revolved around the line x = 4 O revolved about the y-axis
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