Option D: [tex]1176 \pi \ {m}^{3}[/tex] is the volume of the cylinder
Explanation:
Given that the cylinder has a radius of 14 m and a height of 6 m
We need to find the exact volume of the cylinder.
The formula to determine the volume of the cylinder is given by
[tex]Volume=\pi r^{2} h[/tex]
Let us substitute [tex]r=14[/tex] and [tex]h=6[/tex] in the above formula, we have,
[tex]Volume=\pi (14)^{2} (6)[/tex]
Squaring the terms, we get,
[tex]Volume=\pi (196)(6)[/tex]
Multiplying we have,
[tex]Volume=1176\pi \ m^3[/tex]
Thus, the volume of the cylinder is [tex]1176 \pi \ {m}^{3}[/tex]
Therefore, Option D is the correct answer.
