Answer:
75.40 cubic meters
Explanation:
Given:
• The diameter of a cylinder is 4 m.
,• The height is triple the radius
We want to find the volume of the cylinder.
First, determine the radius of the cylinder.
[tex]Radius=\frac{Diameter}{2}=\frac{4}{2}=2\;m[/tex]Next, we find the height.
[tex]Height=3\times Radius=3\times2=6\;m[/tex]Substitute these values into the formula for the volume of a cylinder:
[tex]\begin{gathered} V=\pi r^2h \\ =\pi\times2^2\times6 \\ =24\pi \\ =24\times3.14 \\ =75.36 \\ \approx75.40\;m^3 \end{gathered}[/tex]The value closest to the volume of the cylinder is 75.40 cubic meters.
