Consider the solid bounded by the graphs x2 + y2 = 4, z = 4 – y y z = 0, found in the figure ZA z=4- y ² + y? = 4 Choose and evaluate the correct integral that represents the volume V of the solid (Explain why this integral is chosen and do not omit any step to calculate the volume) 4 x² (4 – y)dydx a) 4 0 Jo b) 2 (4 – y)dydx -2 Jo c) 2 -2 Jo (4 – y)dxdy

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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note2: Do not skip any step to calculate the volume.

Consider the solid bounded by the graphs x2 + y² = 4, z = 4 – y y z = 0, found in the
figure
z= 4- y
x² + y? = 4
Choose and evaluate the correct integral that represents the volume V of the solid
(Explain why this integral is chosen and do not omit any step to calculate the volume)
4 – x²
(4 – y)dydx
a) 4
b) 2
(4 — у)dydx
-2 Jo
2
c) 2
(4 – y)dxdy
-2 Jo
Transcribed Image Text:Consider the solid bounded by the graphs x2 + y² = 4, z = 4 – y y z = 0, found in the figure z= 4- y x² + y? = 4 Choose and evaluate the correct integral that represents the volume V of the solid (Explain why this integral is chosen and do not omit any step to calculate the volume) 4 – x² (4 – y)dydx a) 4 b) 2 (4 — у)dydx -2 Jo 2 c) 2 (4 – y)dxdy -2 Jo
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