4. Consider a horizontal cylinder with radius 1 m whose central axis is 1.5 m above the base of a hemisphere with radius 3 m, as shown in the figure. Find an integral whose value is the volume that is inside of both the pyramid and the cylinder. State the area of a slice and the volume of a slab as functions of a variable. -2 0 2 4-4 -2 2 1 0 2 4

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Chapter2: Second-order Linear Odes
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4.
Consider a horizontal cylinder with radius 1 m whose central axis is 1.5 m above the base of a hemisphere with radius
3m, as shown in the figure. Find an integral whose value is the volume that is inside of both the pyramid and the cylinder.
State the area of a slice and the volume of a slab as functions of a variable.
3
-4
-2
2
4 -4
-2
2.
Transcribed Image Text:4. Consider a horizontal cylinder with radius 1 m whose central axis is 1.5 m above the base of a hemisphere with radius 3m, as shown in the figure. Find an integral whose value is the volume that is inside of both the pyramid and the cylinder. State the area of a slice and the volume of a slab as functions of a variable. 3 -4 -2 2 4 -4 -2 2.
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