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

Verified Answer :

Answer:

Option 4th is correct

\(324 \pi in^3\)

Step-by-step explanation:

Volume of the cylinder is given by:

\(V = \pi r^2h\)         .,....[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;

\(V =\pi \cdot 6^2 \cdot 9\)

⇒\(V = 324 \pi in^3\)

Therefore,  the exact volume of the cylinder is, \(324 \pi in^3\)