Volume of a Cylinder

A cylinder is a stack of identical circles, so its volume is the area of the circular base times the height: \(V = \pi r^2 h\). This NSW Year 8 maths subtopic (NESA outcome MA4‑VOL‑C‑01) gives answers exactly in terms of \(\pi\) or rounded, and halves a diameter before squaring it.

You will find the volume of cylinders and half cylinders, change the answer to millilitres, litres or kilolitres, and work backwards to a height or radius. You will also see why doubling the diameter makes the volume four times as large, compare a square and a round baking tin, and count how many bottles a water cooler fills. It is part of Year 8 Volume.