The volume of the cylinder is [tex]602.88 \ in^3[/tex]
Explanation:
The diameter of the cylinder is 8 in
The radius of the cylinder can be determined using the formula,
[tex]r=\frac{d}{2}[/tex]
Substituting [tex]d=8[/tex] , we have,
[tex]r=\frac{8}{2}=4[/tex]
Thus, the radius of the cylinder = 4 in
It is given that the height is three times the radius.
Thus,
[tex]h=3r\\h=3(4)\\h=12 \ in[/tex]
Thus, the height of the cylinder is 12 in
The formula to find the volume of the cylinder is given by
[tex]V=\pi r^{2} h[/tex]
Substituting the values in the formula, we have,
[tex]V=\pi (4)^{2} (12)\\V=(3.14)(16)(12)\\V=602.88 \ in^3[/tex]
Thus, the volume of the cylinder is [tex]602.88 \ in^3[/tex]
