4. Consider the solid bounded by the cylinder x² + y² = 4, between z = 0, and the upper hemisphere x² + y² + z² 9 where z≥ 0. Which of the following integrals gives the volume of the solid? [V (√9 - x² - y²) dydx. 4-y² 2 [L. (√9-2²- y²) dode. -2 (b) r√4-2² (d) 2 (Ⓒ) LL = (Ⓒ) LIVE (√9 – x² − y²) dydx. (9-x² - y²) dydx. (9 — x² - y²) dydx.
4. Consider the solid bounded by the cylinder x² + y² = 4, between z = 0, and the upper hemisphere x² + y² + z² 9 where z≥ 0. Which of the following integrals gives the volume of the solid? [V (√9 - x² - y²) dydx. 4-y² 2 [L. (√9-2²- y²) dode. -2 (b) r√4-2² (d) 2 (Ⓒ) LL = (Ⓒ) LIVE (√9 – x² − y²) dydx. (9-x² - y²) dydx. (9 — x² - y²) dydx.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. Consider the solid bounded by the cylinder x² + y² = 4, between z = = 0, and the
upper hemisphere
x² + y² +2²=9 where z ≥ 0.
Which of the following integrals gives the volume of the solid?
(a)
(b)
(0)
Ľ
2 -2
L (√9 - 2² - y²) dydx.
-2
2
CLA
(√9 – x² - y²) dydx.
(d) L
9- x² - y²) dydx.
2
[²² (9 - x² - y²) dydz.
2
(e) [². [*² (9 – 2² − y³²) dydz.
- -
-2
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