Find the volume of the solid that lies under the cone z = 9 - (x² + y²) and between the range of 1 1.8 ≤ z ≤ 8.1 and for D = {(r,0)| ≤0 <1}. A plot of an example of a similar solid is shown below. (Answer accurate to 4 significant figures.) Volume using Double Integral 1.5 Z 1- 0.5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the volume of the solid that lies under the cone z = 9 - (x² + y²) and between the range of
1
1.8z8.1
and for D =
{(r, 0)|
below. (Answer accurate to 4 significant figures.)
Submit Question
-2
Volume using Double Integral
2
1.5
Z 1-
≤ 0 <1π}. A plot of an example of a similar solid is shown
0.5
X
Hint: The integral and region is defined in polar coordinates.
Transcribed Image Text:Find the volume of the solid that lies under the cone z = 9 - (x² + y²) and between the range of 1 1.8z8.1 and for D = {(r, 0)| below. (Answer accurate to 4 significant figures.) Submit Question -2 Volume using Double Integral 2 1.5 Z 1- ≤ 0 <1π}. A plot of an example of a similar solid is shown 0.5 X Hint: The integral and region is defined in polar coordinates.
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