Question

A right circular cylinder has a volume of 1 cubic meter and a height of 0.6 meters what is the radius of the cylinder to the nearest thousandth of a meter?

Answer 1

The volume formula of a cylinder is :

$V=\pi r^2h$

From the problem, the volume is 1 m^3 and the height is 0.6 m.

Substitute the given to the formula :

$\begin{gathered} 1=\pi r^2(0.6) \\ 1=3.14(0.6)r^2 \\ r^2=0.53 \end{gathered}$

Take the square root of both sides of the equation :

$\begin{gathered} r^2=0.53 \\ r=\sqrt[]{0.53} \\ r=0.728 \end{gathered}$

The answer is r = 0.728 m