Question

Find the volume, to the nearest m3, of a cylinder with diameter 6 m and height 8 m.

a.226 m3 c.207 m3 b.452 m3 d.151 m3

Answer 1

a. 226m³

Step-by-step explanation

The volume of a cylinder is calculated using the formula:

`Volume=\pi \: {r}^(2) h`

where r is the radius and h=8m is the height of the cylinder.

The radius is half of the diameter.

This means that:

`r = (d)/(2) = (6)/(2) = 3m`

We plug in the values into the formula to get:

`Volume=\pi * {3}^(2) * 8`

`Volume=72\pi`

`Volume=226.19 {m}^(3)`

To the nearest cubic meters, the volume is 226 m³.