Answer:
The difference in the volume of cylinder and total surface area of cylinder =[tex]3\pi[/tex].
The number of sq units of total area exceeds the number of cu.units in the volume [tex]3\pi[/tex].
Step-by-step explanation:
Given radius of cylinder =1 unit
Height of cylinder= 1 unit
We know that formula of volume of cylinder = [tex]\pi r^{2} h[/tex]
Where r= Radius of the cylinder
h= Height of the cylinder
By using this formula we can find the volume of cylinder
volume of cylinder =[tex]\pi \times 1\times 1[/tex] =[tex]\pi cubic units.
Formula of total surface area of cylinder:
Total surface area of cylinder = [tex]2\pi r(r+h)[/tex]
By using this formula we can find total surface area of cylinder
Total surface area of cylinder = [tex]2\pi \times 1(1+1)[/tex}
Total surface area of cylinder=[tex]4\pi[/tex] sq units .
Difference between volume of cylinder and total surface area of cylinde= [tex]4\pi -\pi[/tex]=[tex]3\pi[/tex]
Total surface area of cylinder - volume of cylinder=[tex]3\pi[/tex]
Total surface area of cylinder = [tex]3\pi[/tex] + volume of cylinder
Hence, the number of sq units of total surface area exceed the number of cu.units in the volume by [tex]3\pi[/tex].
