Find the volume of the solids below whose cross-sections perpendicular to the x-axis are (The images are in the link below)
http://people.whitman.edu/~hundledr/courses/M126F13/M126/Group02.pdf
PLease Help! Thanks!
2026-04-05 16:58:59.1775408339
Finding Geometric Volumes
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Hint
For the first one it is $0\le x\le 4,$ $-x/4\le y,z\le x/4.$ Thus, the volume is obtained by computing
$$\int_0^4 \int_{-x/4}^{x/4}\int_{-x/4}^{x/4}dzdydx.$$ Compare this with the volume of the pyramide of basis a square of edge $2$ and height $4.$