Calculate the volume of the solid limited by surfaces

Question

Calculate the volume of the body limited by surfaces: $$ z = 0\\ z = 8-2x-y\\ x^{2} +y^{2} = 4 $$

Have no idea how do it.

Please do not ask no-clue questions. See how to ask a good question for advice on how to improve your question. Have you tried finding the bounds for $x,y,z$? — Toby Mak, Jun 21 '20 at 13:38

score 1 · Accepted Answer · answered Jun 21 '20 at 14:44

1

For first quadrant $$\int_{0}^{2}\int_{0}^{\sqrt{4-x^2}}\int_{0}^{8-2x-y}dxdydz$$

answered Jun 21 '20 at 14:44

zkutch

1 Answers1