Find the volume of the solid that lies under the cone z = 8- (x² + y²) and between the range of 1 7 0.8 ≤z≤ 6.4. D = {(r, 0)| + t ≤ 0 ≤ ™}. A plot of an example of a similar solid is shown belo 4' (Answer accurate to 4 significant figures). Volume using Double Integral

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.8: Volumes Of Pyramids And Cones
Problem 13E
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5.3.10

2
Find the volume of the solid that lies under the cone z = : 8 − (x² + y²) ² and between the range of
1
7
0.8 ≤ z ≤ 6.4. D = {(r, 0)| = π ≤ 0 ≤
}. A plot of an example of a similar solid is shown below.
(Answer accurate to 4 significant figures).
Volume using Double Integral
Z
1.5-
1-
0.5
Hint: The integral and region is defined in polar coordinates.
12
Transcribed Image Text:2 Find the volume of the solid that lies under the cone z = : 8 − (x² + y²) ² and between the range of 1 7 0.8 ≤ z ≤ 6.4. D = {(r, 0)| = π ≤ 0 ≤ }. A plot of an example of a similar solid is shown below. (Answer accurate to 4 significant figures). Volume using Double Integral Z 1.5- 1- 0.5 Hint: The integral and region is defined in polar coordinates. 12
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