Enough to Find It?

Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 13 of 60.

Before you calculate, ask whether the figure says enough. A cylinder's volume formula links three things: the volume, the radius and the height. Know any two and the third is fixed. Know only one and it is not.

$A cylinder with radius 3, height and volume unknown$

This cylinder has radius 3, and that is all. Its height could be 1, or 10, or anything: a short can and a tall pipe can share a radius. So the figure does not fix the height, and it does not fix the volume either. Had the caption given the volume, the height would follow from the formula.

An answer of No is not a failure to find it. It means no rule could find it, because many different solids fit everything the figure says.

Challenge

This cylinder's height is 6, and nothing else is labelled. Does the figure give enough to find its radius? Answer Yes or No, then press Check.

Try it yourself

$Is there enough information?$