5. A spherical sector is the ice-cream-cone shape highlighted here. The volume of a spherical sector like this is: V == TR³ - cos 0) If the radius of a sector is held constant at 3 in and the angle 0 is increased by 0.2 radians from the initial value of , approximately how much would we expect the volume of the sector to increase?
5. A spherical sector is the ice-cream-cone shape highlighted here. The volume of a spherical sector like this is: V == TR³ - cos 0) If the radius of a sector is held constant at 3 in and the angle 0 is increased by 0.2 radians from the initial value of , approximately how much would we expect the volume of the sector to increase?
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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Hi there, please help me with solving this problem please. Please clearly indicate all parts of answer(s). Please indicate what type of problem it is: optimization, linear approximation or related rates. I would really appreciate if you could include all steps to solve the problem as well. Thank you very much!
Transcribed Image Text:5. A spherical sector is the ice-cream-cone shape highlighted here.
The volume of a spherical sector like this is:
2
V ==
TR3(1 – cos 0)
R.
e e
If the radius of a sector is held constant at 3 in and the angle 0 is
increased by 0.2 radians from the initial value of , approximately how
much would we expect the volume of the sector to increase?
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