Question

The radius of a cylinder is (3x-2cm). The height of the cylinder is (x+3cm).

What is the surface area of the cylinder?
Use the formula A=2\pi r^(2)+2\pi rh.

Answer 1

`(24\pi x^2-10\pi x-4\pi)` square centimeters

Step-by-step explanation:

Let

`r=\text{radius of the cylinder}=3x-2 < br/ >`

`h=\text{height of the cylinder}=x+3`

Then the surface area of the cylinder is given by

`A=2\pi r^2+2\pi rh`

`=2\pi r(r+h)`

`=2\pi (3x-2)((3x-2)+(x+3))`

`=2\pi (3x-2)(4x+1)`

`=2\pi(12x^2-5x-2)`

`\boxed{A=(24\pi x^2-10\pi x-4\pi )cm^2}`