What is the exact volume of the cylinder? Cylinder with radius labeled 6 inches and height labeled 9 inches

54π in³

108π in³

162π in³

324π in³

Respuesta :

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]