A hemispherical bowl of radius 6 inches is filled to a depth of h inches, where 0sh≤ 6. Find the volume of water in the bowl as a function of h. (Check the special cases h = 0 and h =6.) 2th 3 The volume of the water in terms of his (Type an exact answer, using as needed.) in³.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A hemispherical bowl of radius 6 inches is filled to a depth of h inches, where 0≤h≤ 6. Find the volume of water in the bowl as a function of h. (Check the special cases h = 0 and h = 6.)
3
2лh
3
The volume of the water in terms of his
(Type an exact answer, using as needed.)
in³.
Transcribed Image Text:A hemispherical bowl of radius 6 inches is filled to a depth of h inches, where 0≤h≤ 6. Find the volume of water in the bowl as a function of h. (Check the special cases h = 0 and h = 6.) 3 2лh 3 The volume of the water in terms of his (Type an exact answer, using as needed.) in³.
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