To determine the volume of the given solid, we will divide it into two solids:
Solid A, which is a cobblestone, with sides 14in x 11in x 23in.
Solid B, half-cylinder with a base diameter equal to 14in and height equal to 11in.
Now, we are able to say that the volume of the given solid is:
[tex]V=V_A+V_B[/tex]
Calculating volume of Solid A:
[tex]V_A=11\times14\times23=3,542\text{ in³}[/tex]
Now, using π = 3.14, we calculate the volume of Solid B:
[tex]V_B=\frac{1}{2}\times3.14\times(\frac{14}{2})^2_{}\times11=846.23[/tex]
Now, we sum them:
[tex]V=3,542+846.23=4,388.23in^{3}[/tex]
from the solution developed above, we are able to conclude that the nearest whole number which represents the volume of the given solid is: 4,388 in³
