Answer:
volume of the solid =
Step-by-step explanation:
As given , the region : |x| + |y| 1
when y 0 ,
|x| + y = 1
⇒|x| = 1 - y
when y ≤ 0 ,
|x| - y = 1
⇒|x| = 1 + y
The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)
As given , the vertical cross section are semicircle
As we know that the area of semi circle =
Now,
Volume = +
= -
= [1-0] -
[0-1]
=
⇒volume of the solid =