• Sample Problem 4 Imagine a geometrical figure formed from a sphere bounded by the following: 3 < r ≤ 5, 60° ≤ 0 ≤ 90°, and 45° ≤ ≤ 60°. Calculate a. The distance DH b. The distance FG c. The surface area AEHD d. The surface area ABCD e. The volume of the object Answer: 4 49 abc.d.; c. e. -TT 36 3 A D dr с E H F rde G r sin 0 do

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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• Sample Problem 4
Imagine a geometrical figure formed from a sphere bounded by the
following: 3 < r ≤ 5, 60° ≤ 0 ≤ 90°, and 45° ≤ ≤ 60°. Calculate
a. The distance DH
b. The distance FG
c. The surface area AEHD
d. The surface area ABCD
e. The volume of the object
Answer:
49
a. b.icnd.ne. •TT
36
4
3
A
D
dr
с
E
H
F
rde
G
r sin 0 do
Transcribed Image Text:• Sample Problem 4 Imagine a geometrical figure formed from a sphere bounded by the following: 3 < r ≤ 5, 60° ≤ 0 ≤ 90°, and 45° ≤ ≤ 60°. Calculate a. The distance DH b. The distance FG c. The surface area AEHD d. The surface area ABCD e. The volume of the object Answer: 49 a. b.icnd.ne. •TT 36 4 3 A D dr с E H F rde G r sin 0 do
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Follow-up Question

explain the way in answering d and e thank you

 

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Follow-up Question

how would yoiu know which values will be used given that

3≤r≤5        ,       60°≤θ≤90°        ,         45°≤ϕ≤60°

For example in distance DH, why r=3 and θ=90° has been used ?

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Follow-up Question

can you explain how to solve each part?

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