What is the volume of the solid obtained by rotating the region bounded by y = x², x = 0 and y = 4 about the line y = 4? 1. The Integral expressing the volume using the disk method is: OAT(4-2³² dz OB. T (4² - y)dy OC. T (4-√)²dy OD. None of these E. T *(4-2²) dz 2. The Integral expressing the volume using the shell method is: A.T f (4-2²) ² de O A. 0 B. 2T - 2π *(4- y) √ū dy . 2π * U√y dy C. 2T D. 2T 0.2= ²(4-2²) z dz OE. None of these

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.8: Volumes Of Pyramids And Cones
Problem 13E
icon
Related questions
Question
100%
What is the volume of the solid obtained by rotating the region bounded by y = x², x = 0 and y = 4 about the line y = 4?
1. The Integral expressing the volume using the disk method is:
O
= | *
OB. T
(4²-y)dy
OC. T (4-√)² dy
OD. None of these
O
√
2. The Integral expressing the volume using the shell method is:
O
A. T
O
E. TT
(4- x²)² dx
JO
(4- x²) dx
O
B. 2x (4-9) √3 dy
А. П
A. π [²(4-2²) ² dar
C. 2π fu√ūdy
2T
D. 2T
. 2π ² (4-2²)x da
OE. None of these
Transcribed Image Text:What is the volume of the solid obtained by rotating the region bounded by y = x², x = 0 and y = 4 about the line y = 4? 1. The Integral expressing the volume using the disk method is: O = | * OB. T (4²-y)dy OC. T (4-√)² dy OD. None of these O √ 2. The Integral expressing the volume using the shell method is: O A. T O E. TT (4- x²)² dx JO (4- x²) dx O B. 2x (4-9) √3 dy А. П A. π [²(4-2²) ² dar C. 2π fu√ūdy 2T D. 2T . 2π ² (4-2²)x da OE. None of these
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,