The volume of this cylinder is 2700π(cubed)
Find the length of the radius, r.
Give your answer as a surd in its simplest form.
r ?
150cm is the height​


Answer :

Given that,

The volume of the cylinder, [tex]V=2700\pi\ cm^3[/tex]

The height of the cylinder, h = 150 cm

To find,

The radius of the cylinder.

Solution,

The formula for the volume of the cylinder is given by :

[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V}{\pi h}}\\\\r=\sqrt{\dfrac{2700\pi }{\pi \times 150}}\\\\r=4.24\ cm[/tex]

So, the radius of the cylinder is 4.24 cm.