The volume of a cylinder is [tex]1178.1 \ cm^3[/tex]
Explanation:
Given that the diameter of the cylinder is 10 inches.
The radius of the cylinder is given by
[tex]r=\frac{d}{2}[/tex]
[tex]r=\frac{10}{2} =5[/tex]
Thus, the radius is 5 inches.
Also, given that the height is three times the radius.
Thus, we have,
[tex]h=3r[/tex]
[tex]h=3(5)[/tex]
[tex]h=15[/tex]
Thus, the height is 15 inches.
The volume of the cylinder is given by
[tex]V=\pi r^{2} h[/tex]
Substituting the values, we get,
[tex]V=\pi (5)^{2} (15)[/tex]
[tex]V=\pi (25) (15)[/tex]
[tex]V=375 \pi[/tex]
Using the calculator, the value of pi is determined and multiplied with 375.
Hence, we have,
[tex]V=1178.1 \ cm^3[/tex]
Thus, the volume of the cylinder is [tex]1178.1 \ cm^3[/tex]
