The volume of the solid is
cubic units.
<h3>
How to find the volume of a solid by slice integration method</h3>
First, we need to determine the coefficients <em>linear</em> function behind the hypotenuse of the triangle by solving the following system of linear equations:
(1)
(2)
Where:
- Slope
- Intercept
The solution of the system is:
,
. Thus, the equation of the line is
.
The integral expression for the solid volume is described below:
(3)
Where
is the cross section area function.
If we kwow that
, then the volume of the solid is:
(4)




The volume of the solid is
cubic units. 
<h3>Remark</h3>
The statement is incomplete and poorly formatted, correct form is shown below:
<em>Find the solid whose base is the triangle with vertices </em>
<em>, </em>
<em> and </em>
<em> and whose cross sections perpendicular to the base and parallel to the y-axis are semicircles. </em>
To learn more on volumes, we kindly invite to check this verified question: brainly.com/question/1578538