Question

A cylinder has a radius of 5.0 cm and a volume of 1334.5 cube centimetres. What is the height of the cylinder? Use balance method

Answer 1

1334.5 = 3.14 * 5squared * h
1334.5 = 3.14 * 25 * h
1334.5 = 78.5 * h
1256 = h

Answer 2

A cylinder with radius
`r` and height
`h` has volume

`V=\pi r^2 h`.

It is given that the volume is
`V=1334.5\;cm^3` and the radius is
`r=5\;cm`. Substituting numerical values,

`image`

The height of the cylinder is
`16.99\;cm`.