Tutorial Exercise Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 4y², x= 4; about x = 4 Step 1 Rotating a horizontal strip between x = 4y² and x = 4 around x = 4 creates a disk Sketch the region then on your own sketch the solid, and a typical disk or washer. y Stan 2 18 -0.5 -1.0 1.5 1.0 0.5 1.5 y -0.5 1.0 -1.5- 0.5 -1.0 0-1.5 1 2 3 WebAssign Plot X y 1.5 1.0 0.5 -0.5 -1.0 1.5 y 1.5 1.0 0.5 -0.5 -1.0 -1.5 1 1 disk 2 2 3 3 5 5 X X

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
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Tutorial Exercise
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
x = 4y², x = 4; about x = 4
Step 1
Rotating a horizontal strip between x = 4y² and x = 4 around x = 4 creates a disk✔
Sketch the region then on your own sketch the solid, and a typical disk or washer.
y
-0.5
-1.0
1.0
0.5
1.5
-0.5
1.0
y
1.5 H
0.5
-1.0
-1.5
-1.5
Thus, the radius of the disk is r =
2
Submit Skip (you cannot come back)
WebAssign Plot
y
1.5 H
1.0
0.5
-0.5
-1.0
O-1.5
y
1.5
1.0
0.5
-0.5
-1.0
Step 2
The center of the disk is at the line x = 4 and the radius is measured from this line.
-1.5 H
1
1
disk
2
2
3
3
X
Transcribed Image Text:Tutorial Exercise Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 4y², x = 4; about x = 4 Step 1 Rotating a horizontal strip between x = 4y² and x = 4 around x = 4 creates a disk✔ Sketch the region then on your own sketch the solid, and a typical disk or washer. y -0.5 -1.0 1.0 0.5 1.5 -0.5 1.0 y 1.5 H 0.5 -1.0 -1.5 -1.5 Thus, the radius of the disk is r = 2 Submit Skip (you cannot come back) WebAssign Plot y 1.5 H 1.0 0.5 -0.5 -1.0 O-1.5 y 1.5 1.0 0.5 -0.5 -1.0 Step 2 The center of the disk is at the line x = 4 and the radius is measured from this line. -1.5 H 1 1 disk 2 2 3 3 X
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