In Problems 69 a hemisphere of radius a has its base on the xy-plane, centered at the origin; the z- axis is vertically upward. Using the given slices, (a) Write an expression for the volume of a slice. (b) Write an integral giving the volume of the hemisphere. (c) Calculate the integral. 69. Vertical slices perpendicular to the x-axis.
In Problems 69 a hemisphere of radius a has its base on the xy-plane, centered at the origin; the z- axis is vertically upward. Using the given slices, (a) Write an expression for the volume of a slice. (b) Write an integral giving the volume of the hemisphere. (c) Calculate the integral. 69. Vertical slices perpendicular to the x-axis.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:In Problems 69 a hemisphere of radius a has its base on the xy-plane, centered at the origin; the z-
axis is vertically upward. Using the given slices,
(a) Write an expression for the volume of a slice.
(b) Write an integral giving the volume of the hemisphere.
(c) Calculate the integral.
69. Vertical slices perpendicular to the x-axis.
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