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The volume of a cylinder is 54 pi cm^3. if the radius is 3 cm, what is the height of the cylinder?

The Volume Of A Cylinder Is 54 Pi Cm3 If The Radius Is 3 Cm What Is The Height Of The Cylinder class=

Sagot :

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]

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