The height of the cylinder is 3.18 inches
Explanation:
Given that a cylinder has a lateral surface area of about 80 square inches.
The radius of the cylinder is 4 inches.
We need to determine the height of the cylinder.
Height of the cylinder:
The height of the cylinder can be determined using the formula,
[tex]S=2 \pi r h[/tex]
where [tex]S=80[/tex], [tex]\pi=3.14[/tex] , [tex]r=4[/tex]
Substituting these values, we get,
[tex]80=2(3.14)(4)h[/tex]
Simplifying, we get,
[tex]80=25.12h[/tex]
Dividing both sides by 25.12, we get,
[tex]3.18=h[/tex]
Thus, the height of the cylinder is 3.18 in
