Consider a "pyramid" like the one pictured above. Horizontal cross-sections of the pyramid are squares. The height of the pyramid is h, and its base has side length 6. With the origin at the center of the square base, the y-axis running vertically, and the z-axis running parallel to the sides h(x-3)² 9 of the base square, the curve y = shown in red runs along one outside wall of the pyramid. Express the volume of the pyramid, V, as an integral of the form V = For grading, enter a b= g(y) V= 0 g(y) dy.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Consider a "pyramid" like the one pictured above. Horizontal cross-sections of the pyramid are squares. The height of the pyramid is h, and its
base has side length 6. With the origin at the center of the square base, the y-axis running vertically, and the z-axis running parallel to the sides
h(2-3)²
of the base square, the curve y =
shown in red runs along one outside wall of the pyramid.
9
-Express the volume of the pyramid, V, as an integral of the form V =
For grading, enter
am 0
b=
g(y)
V=
FI
g(y) dy.
Transcribed Image Text:Consider a "pyramid" like the one pictured above. Horizontal cross-sections of the pyramid are squares. The height of the pyramid is h, and its base has side length 6. With the origin at the center of the square base, the y-axis running vertically, and the z-axis running parallel to the sides h(2-3)² of the base square, the curve y = shown in red runs along one outside wall of the pyramid. 9 -Express the volume of the pyramid, V, as an integral of the form V = For grading, enter am 0 b= g(y) V= FI g(y) dy.
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