Respuesta :

Answer:

The correct answer option is 153[tex]\pi mm^2[/tex].

Step-by-step explanation:

We are given a cylinder with a radius of 4.5 mm and a height of 17 mm 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 *4.5*17[/tex] = 153[tex]\pi mm^2[/tex]

Answer:

The correct answer is option 3.  153π mm²

Step-by-step explanation:

Formula:-

Lateral surface area of cylinder = 2πrh

r - Radius of cylinder

h - Height of cylinder

To find the lateral surface area of cylinder

diameter of cylinder = 9 mm

radius, r = 9/2 = 4.5 mm and height, h = 17 mm

lateral surface area  =  2πrh = 2 * π * 4.5 * 17 = 153π mm²

Therefore the lateral surface area =  153π mm²

The correct answer is option 3.