Respuesta :
Answer:
[tex]3\pi[/tex]
Step-by-step explanation:
Given the cylinder has radius of 1 and height of 1.
We know that, the surface area of a cylinder is the sum of the area of both the bases and the curved surface.
[tex]A_{cylinder}=2\pi r^2+2\pi rh[/tex]
putting the values as [tex]r=1[/tex] and [tex]h=1[/tex], we get
[tex]A_{cylinder}=2\pi (1)^2+2\pi (1)(1)=2\pi +2\pi =4\pi[/tex]
Volume of the cylinder will be,
[tex]V_{cylinder}=\pi r^2h=\pi (1)^2(1)=\pi[/tex]
The difference will be [tex]4\pi-\pi=3\pi[/tex]