Answer:
[tex]\Huge \fbox{A. 432$\pi$}[/tex]
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Step-by-step explanation:
Formula
The formula for the volume of a right circular cylinder is given by:
[tex]\huge \fbox{V = $\pi$\times$r^{2}$\times$h}[/tex]
Where [tex]V[/tex] is the volume, [tex]r[/tex] is the radius of the base, and [tex]h[/tex] is the height of the cylinder.
Solution
The base radius and height for this problem are 6 and 12 centimetres, respectively. We can use the following values as substitutes in the formula to determine the volume:
[tex]\\\LARGE \boxed{\begin{minipage}{5 cm}\text{V = $\pi$\times$6^{2}$\times$12}\\\text{V = $\pi$\times$36$\times$12}\\\text{V = 432$\pi$}\end{minipage}}[/tex]
Therefore, the volume of the cylinder is 432π cubic centimeters.
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