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...
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf969e46-72b2-4bbd-bfc9-1fae0b159d5c%2Ffd0327aa-7928-4173-b293-9619da06437f%2Fzn3jbf4_processed.jpeg&w=3840&q=75)
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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