Question

Find the volume of the region under the surface z = 8° and above the triangle in the xy-plane with corners (0,0,0),(4,0,0) and (0,5, 0). Preview Get help: Video License Points possible: 1 This is attempt 1 of 3.

Answer 1

The vertices of the triangle above the xy plane is (0,0,0), (4,0,0.) and (0,5,0) Let us find the egn of the line through the point (2,0,0) and (0,5,o) y-o is 5-0 0-4 2-4 y=-2 (2-1) = 5 - 52 4 y=0 the volume a=2 Then 4 5-524 of the is v= region Í z dyda

Here z = 825. 5- 4. :.=sis sasdy dx sa 4 S- 825 [y] da =8sx (5-5) de - = {"(528. 5 at de Es [576- *}' 8 10240 20480 7 81920 21 = 3900.95 (round upto of decimal)