Hey there!
The formula for the volume of a cylinder is [tex]\pi r^{2} h[/tex], which is essentially the base multiplied by the height.
If our diameter is six, then our radius is three, so we can solve for our base below. We will use 3.14 for pi.
[tex]3^{2}(3.14)=28.26[/tex]
Now, we multiply this by our height of four.
[tex]28.26(4)=113.04[/tex]
Therefore, our volume is 113.04 cubic units.
I hope this helps!
The volume of the cylinder is 113.1 cubic units.
Important information:
We need to find the volume of the cylinder.
Volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
Where, [tex]r[/tex] is the radius and [tex]h[/tex] is the height of the cylinder.
Diameter of the cylinder is 6 units. So, the radius of the cylinder is 3 units. Now,
[tex]V=\pi (3)^2(4)[/tex]
[tex]V=\pi (9)(4)[/tex]
[tex]V=36\pi [/tex]
[tex]V\approx 113.1 [/tex]
Thus, the volume of the cylinder is 113.1 cubic units.
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