Answer:
[tex](5x+1)\pi[/tex]
Step-by-step explanation:
Given:
The radius of a cylindrical gift box = [tex]4x+1[/tex]
The height of the gift box is three times the radius.
Question asked:
What is the surface area of the cylinder ?
Solution:
The height of the gift box is three times the radius means,
[tex]height = 3(4x+1)[/tex]
[tex]= 3\times4x+3\times1\\= 12x+3[/tex]
Now, surface area of the cylinder = [tex]2\pi r(r+h)[/tex]
[tex]=2\pi[4x+1](4x+1+12x+3)\\=8\pi x+2\pi(16x+4)\\=8\pi x+32\pi x+8\pi\\=40\pi x+8\pi\\=8\pi(5x+1) \ Taking \ common[/tex]
Therefore, surface area of the cylinder is [tex](5x+1)\pi[/tex].
