Question

A cylinder has a radius of 12 cm and a volume of 1584 cm³.Find the height of the cylinder.height=cm

Answer 1

The formula for the Volume(V) of a cylinder is,

`V=πr^2h`

Given

`\begin{gathered} V=1584\pi cm^3 \\ r=12cm \end{gathered}`

Therefore,

`\begin{gathered} 1584\pi=\pi(12)^2h \\ \therefore h=(1584\pi)/(\pi(12)^2)=11 \end{gathered}`

Hence,

`h=11cm`