Step-by-step explanation:
Given by question,
The volume of a cylinder = y, The radius of a cylinder(r) = x - 3 and
The height of a cylinder(h) = 2x + 7
To find, the volume of a cylinder (y) = ?
We know that,
The volume of a cylinder = [tex]\pi r^2 h[/tex]
⇒ [tex]y = \pi (x-3)^2 (2x+7)[/tex]
⇒ y = [tex]\pi (x^2-6x+9) (2x+7)[/tex]
⇒ y = [tex]\pi (x^2-6x+9) (2x+7)[/tex]
∴ The volume of a cylinder (y) = [tex]\pi (x^2-6x+9) (2x+7)[/tex]
Thus, the volume of a cylinder (y) = [tex]\pi (x^2-6x+9) (2x+7)[/tex]
You can also refer:
https://brainly.com/question/8913282
