Question

A cylinder has a volume of 540 cm cubed. if the height of the cylidner is 15 cm, find the radius.

Answer 1

You should always remember that a cylinder consists of circles that are all over each other to form the height of the cylinder.
So the volume of the cylinder= the area of the surface circle* the height.
$V=540=\pi r^2*h= \pi r^2*15$
Then,
$r^2= \frac{540}{15 \pi }$
So, $r= \sqrt{\frac{540}{15 \pi }}$
radius is approximately 3.4cm
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Hope this helps.