Respuesta :
Answer:
The area of the base of the cylinder is [tex]14.5\ in^{2}[/tex]
Step-by-step explanation:
we know that
The volume of the cylinder is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of cylinder
h is the height of the cylinder
In this problem we have
[tex]V=174\ in^{3}[/tex]
[tex]h=12\ in[/tex]
Substitute in the formula and solve for B
[tex]174=B(12)[/tex]
Apply the division property of equality
[tex]B=174/(12)=14.5\ in^{2}[/tex]