Below are two perspectives of the solid bounded by surfaces: y2 = x2 + z2 and x2 + y2 + z2 = 16, in the first octant. (see solid in attached image) An expression that allows calculating the volume of the solid corresponds to:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Below are two perspectives of the solid bounded by surfaces: y2 = x2 + z2 and x2 + y2 + z2 = 16, in the first octant. (see solid in attached image)

An expression that allows calculating the volume of the solid corresponds to:

16
dy dr de +
dy dr de
0.
B) T rdydr do +
r dy dr de
4
16
C)
r dy dr do –
r dy dr de
10
16–r2
D) .
r dy dr d0 +
rdydr de
elo
Transcribed Image Text:16 dy dr de + dy dr de 0. B) T rdydr do + r dy dr de 4 16 C) r dy dr do – r dy dr de 10 16–r2 D) . r dy dr d0 + rdydr de elo
a + y? + 2? = 16
a² + y° + z? = 16
y? = a? + 2?
y? = a² + 2?
Transcribed Image Text:a + y? + 2? = 16 a² + y° + z? = 16 y? = a? + 2? y? = a² + 2?
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