Answer:
C. 6 cm
Explanation:
The formula for finding the volume of a cylinder is given as;
[tex]V=\pi\ast r^2\ast h^{}[/tex]
Given the volume of the cylinder, V, to be 54pi cm^3 and the radius to be 3 cm, let's go ahead and find the height as follows;
[tex]\begin{gathered} 54\pi=\pi\ast(3)^2\ast h \\ 54\pi=\pi9h \end{gathered}[/tex]
To make h the subject of the formula, let's divide both sides of the equation by 9pi;
[tex]\begin{gathered} \frac{54\pi}{9\pi}=h \\ \frac{54}{9}=h \\ 6=h \\ \therefore h=6\operatorname{cm} \end{gathered}[/tex]
