Question

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

Answer 1

Option 4th is correct

`324 \pi in^3`

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`