Let D be the solid bounded above by the sphere x² + y² + z² = 9, below by z = 0 and laterally by the cylinder z2 + (y-3/2)2 = 9/4. Which of the following statements are true? (i) The base of D has the boundary r = sin 0, which is a circle. 3y-y2 9-1²-² [Ve dzdzdy ST LN PTT (iv) The volume of D is V = 2 ² (ii) The volume of D is V: = (i) The volume of D is V = (v) The √3y-y²Jo √3y-y² 3 sin /23 sine LO 9-12 2-y² 9-12 dzdzdy. rdzdrdo A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let D be the solid bounded above by the sphere x² + y² + z² = 9, below
by z = 0 and laterally by the cylinder x2 + (y-3/2)2 = 9/4. Which of the
following statements are true?
(i) The base of D has the boundary r = sin 0, which is a circle.
3y-y² √9-1²-2
dzdxdy
(ii) The volume of D is V =
Tr
(i) The volume of D is V
=
(iv) The volume of D is V = 2
OA) (i), (v), and (vi)
B)(), (), and (v)
OC), (iv), and (v)
OD All of them
OE) (0) (0) and (vi)
-√3y-y²Jo
√√3y-y²
5.²5²²
25. So
3 sin 0
√√²--
T
/23 sine
(v) The volume of D is V = 2
- 25" ²6" √³
(vi) The volume of D is V = 3 (3-4).
dzdxdy
rdzdrdo
rdzdrdo
4
Transcribed Image Text:Let D be the solid bounded above by the sphere x² + y² + z² = 9, below by z = 0 and laterally by the cylinder x2 + (y-3/2)2 = 9/4. Which of the following statements are true? (i) The base of D has the boundary r = sin 0, which is a circle. 3y-y² √9-1²-2 dzdxdy (ii) The volume of D is V = Tr (i) The volume of D is V = (iv) The volume of D is V = 2 OA) (i), (v), and (vi) B)(), (), and (v) OC), (iv), and (v) OD All of them OE) (0) (0) and (vi) -√3y-y²Jo √√3y-y² 5.²5²² 25. So 3 sin 0 √√²-- T /23 sine (v) The volume of D is V = 2 - 25" ²6" √³ (vi) The volume of D is V = 3 (3-4). dzdxdy rdzdrdo rdzdrdo 4
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