Question

I need to know what the volume of a cylinder is and leave my answer in terms of pi

Answer 1

V=128π

Explanation:

V=πr^2h

V=π*4^2*8

V=π*16*8

V=128π

Answer 2

Answer: 128π cm³

Step-by-step explanation: To find the volume of a cylinder, start with the formula for the volume of a cylinder which is shown below.

`V = \pi r^(2) h`

Here, notice that our cylinder has a diameter of 8 cm but we need the radius to plug into the formula and not the diameter. Remember that the radius is equal to half of the diameter so the radius of this cylinder will be equal to half of 8 cm or 4 cm. So our cylinder has a radius of 4 cm and a height of 8 cm.

So we have
`(\pi)(4 cm)^(2)(8 cm)`.

Start by simplifying the exponent.

(4 cm)² is 4 centimeters · 4 centimeters or 16 cm².

So we have
`(\pi)(16 cm^(2))(8 cm)`.

Now, (16 cm²) (8 cm) is 128 cm³.

So we have 128π cm³.

So the volume of the cylinder shown here is 128π cm³.