Answer:
Option 4th is correct
[tex]324 \pi in^3[/tex]
Step-by-step explanation:
Volume of the cylinder is given by:
[tex]V = \pi r^2h[/tex] .,....[1]
where,
r is the radius and h is the height of the cylinder respectively.
As per the statement:
Cylinder with radius labeled 6 inches and height labeled 9 inches
⇒r = 6 inches and h = 9 inches
Substitute in [1] we have;
[tex]V =\pi \cdot 6^2 \cdot 9[/tex]
⇒[tex]V = 324 \pi in^3[/tex]
Therefore, the exact volume of the cylinder is, [tex]324 \pi in^3[/tex]