Let C denote the solid that is = 0, • bounded above by z = e-2(x² +y² ), and • lying within the cylinder x? + y² • bounded below by z = 4. We want to calculate the volume of the solid, which is given by the triple integral dV.

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let C denote the solid that is
= 0,
- 2 (x² + y² ),
• bounded below by z =
• bounded above by z = e
and
lying within the cylinder x + y² = 4.
We want to calculate the volume of the solid, which is given by the triple integral
dV.
(a) In cylindrical coordinates, the bounds of integration for 0, r, and z are given by
<r <
< z <
(b) What is the volume of the solid C? (If you enter your answer using a decimal
approximation, then round your answer to three decimal places.)
Volume(C) :
Transcribed Image Text:Let C denote the solid that is = 0, - 2 (x² + y² ), • bounded below by z = • bounded above by z = e and lying within the cylinder x + y² = 4. We want to calculate the volume of the solid, which is given by the triple integral dV. (a) In cylindrical coordinates, the bounds of integration for 0, r, and z are given by <r < < z < (b) What is the volume of the solid C? (If you enter your answer using a decimal approximation, then round your answer to three decimal places.) Volume(C) :
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