The integral represents the volume of a solid of revolution. 2 27t x dx (a) Identify the plane region that is revolved. O plane region bounded by y = x*, y = 8, y = 0, O plane region bounded by y = x°, y = 8, y = 0, O plane region bounded by y = x*, y = 0, x = 0, O plane region bounded by x = y°, x 0, y = 0, y = 2 O plane region bounded by y = x, y = 0, x = 0, x = 2 O plane region bounded by y = x/2, y = 0, x = 0, x = 2 (b) Identify the axis of revolution. O revolved around the line y = 8 O revolved around the line x = 8 %3D O revolved about the y-axis O revolved around the line x = 2 O revolved ahout the y-avis
The integral represents the volume of a solid of revolution. 2 27t x dx (a) Identify the plane region that is revolved. O plane region bounded by y = x*, y = 8, y = 0, O plane region bounded by y = x°, y = 8, y = 0, O plane region bounded by y = x*, y = 0, x = 0, O plane region bounded by x = y°, x 0, y = 0, y = 2 O plane region bounded by y = x, y = 0, x = 0, x = 2 O plane region bounded by y = x/2, y = 0, x = 0, x = 2 (b) Identify the axis of revolution. O revolved around the line y = 8 O revolved around the line x = 8 %3D O revolved about the y-axis O revolved around the line x = 2 O revolved ahout the y-avis
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
Related questions
Question
![The integral represents the volume of a solid of revolution.
27t
x dx
(a) Identify the plane region that is revolved.
O plane region bounded by y = x*,
y = 8,
y = 0,
O plane region bounded by y = x',
y = 8,
y = 0,
O plane region bounded by y = x*,
y = 0,
x = 0,
X 2
O plane region bounded by x = y°,
x = 0,
y = 0,
y = 2
O plane region bounded by y = x',
y = 0,
x = 0,
x = 2
O plane region bounded by y = x/2,
y = 0,
x = 0,
x = 2
(b) Identify the axis of revolution.
O revolved around the line y = 8
revolved around the line x = 8
O revolved about the y-axis
O revolved around the line x = 2
O revolved about the x-axis
O revolved around the line y = 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55fa8fde-8fd4-4738-ad3d-6ed0be3f46cb%2Fbaa34802-bc3e-4aed-824d-a6bca632842b%2Ftveruxn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The integral represents the volume of a solid of revolution.
27t
x dx
(a) Identify the plane region that is revolved.
O plane region bounded by y = x*,
y = 8,
y = 0,
O plane region bounded by y = x',
y = 8,
y = 0,
O plane region bounded by y = x*,
y = 0,
x = 0,
X 2
O plane region bounded by x = y°,
x = 0,
y = 0,
y = 2
O plane region bounded by y = x',
y = 0,
x = 0,
x = 2
O plane region bounded by y = x/2,
y = 0,
x = 0,
x = 2
(b) Identify the axis of revolution.
O revolved around the line y = 8
revolved around the line x = 8
O revolved about the y-axis
O revolved around the line x = 2
O revolved about the x-axis
O revolved around the line y = 2
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