Question

QuestionThe volume of a right cylinder is 27π cubic centimeters, and the height is 3 centimeters (cm). What is the radius of the cylinder?

Answer 1

We are told that;

The volume of a right cylinder is 27π cubic centimeters, and the height is 3 centimeters .

We want to determine the radius of the cylinder.

The volume of a cylinder is given as;

`\begin{gathered} V=\pi r^2h \\ r^2=(V)/(\pi h) \\ r=\sqrt{(V)/(\pi h)} \end{gathered}`

Inserting the values, we have;

`r=\sqrt{(27\pi)/(3\pi)}=√(9)=3cm`

Thus, the radius is 3 centimeters.