Respuesta :
Answer:
[tex]90\pi in^2[/tex]
Step-by-step explanation:
The lateral area of the cylinder is given by;
[tex]A_L=2\pi rh[/tex]
The radius of the cylinder is [tex]r=5in.[/tex] and the height is [tex]r=9in.[/tex]
Substitute the values to get;
[tex]A_L=2\pi \times 5\times 9[/tex]
[tex]A_L=90\pi in^2[/tex]
Answer:
The correct answer option is 90[tex]\pi inches^2[/tex].
Step-by-step explanation:
We are given a cylinder with a radius of 5 inches and a height of 9 inches and we are to find the lateral area of this cylinder.
We know that the formula of the lateral area of a cylinder is given by:
Lateral area of cylinder = [tex] 2 \pi r h [/tex]
Substituting the given values in the formula to get:
Lateral Area = [tex]2\pi *5*9[/tex] = 90[tex]\pi inches^2[/tex]