9.2.4 Show that the slice z = c of the sphere x +y +z = 1 has the same area asthe slice z c of the cylinder x +y21 outside the cone x+y = 2.025 Deduce from Exercise 9.2.4, and the known volume of the cone, that thevolume of the sphere is 2/3 the volume of the circumscribing cylinder

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Asked Oct 15, 2019
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need help with 9.2.5

9.2.4 Show that the slice z = c of the sphere x +y +z = 1 has the same area as
the slice z c of the cylinder x +y2
1 outside the cone x+y = 2.
025 Deduce from Exercise 9.2.4, and the known volume of the cone, that the
volume of the sphere is 2/3 the volume of the circumscribing cylinder
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9.2.4 Show that the slice z = c of the sphere x +y +z = 1 has the same area as the slice z c of the cylinder x +y2 1 outside the cone x+y = 2. 025 Deduce from Exercise 9.2.4, and the known volume of the cone, that the volume of the sphere is 2/3 the volume of the circumscribing cylinder

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Expert Answer

Step 1

dxdydz =f2/1-y -2dyt
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dxdydz =f2/1-y -2dyt

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Step 2

J2y -) -7(1-c)
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J2y -) -7(1-c)

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Step 3

...
1
f(122)Z
3
-1
2
2
3
4
=-T
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1 f(122)Z 3 -1 2 2 3 4 =-T

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