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

ANSWER

a. 226m³

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:

$r = \frac{d}{2} = \frac{6}{2} = 3m$

We plug in the values into the formula to get:

$Volume=\pi \times {3}^{2} \times 8$

$Volume=72\pi$

$Volume=226.19 {m}^{3}$

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