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

SOLUTION:

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;

$\begin{gathered} V=\pi r^2h \\ r^2=\frac{V}{\pi h} \\ r=\sqrt{\frac{V}{\pi h}} \end{gathered}$

Inserting the values, we have;

$r=\sqrt{\frac{27\pi}{3\pi}}=\sqrt{9}=3cm$

Thus, the radius is 3 centimeters.