Question

Find the volume of a cylinder that has a diameter of 6 and a height of 9. Leave your answer in terms of (pie)

Answer 1

V = π x r² x h

V= π x 6² x9

V= 324 π

Answer 2

For this case we have that by definition, the volume of a cylinder is given in the following way:

`V = \pi * r ^ 2 * h`

Where:

V: Represents the volume

r: Represents the radius of each of the circular caps of the cylinder

h: Represents the height of the cylinder

IF the diameter is 6, then:
`r = \frac {6} {2} = 3`

Then, according to the given data we have:

`r = 3\\h = 9`

Substituting:

`V = \pi * (3) ^ 2 * 9\\V = \pi * 9 * 9\\V = 81 \pi`

So, the volume of the cylinder is
`81 \pi`

Answer:

The volume of the cylinder is
`81 \pi` cubic units