Answer :
Answer:
diameter of the base of the cylinder = 11 cm.
Step-by-step explanation:
We can find the diameter of the base of the right circular cylinder with height of 8 cm and lateral surface of 88π cm² by using these formula:
[tex]\boxed{area\ of\ lateral\ surface=perimeter\times height}[/tex]
[tex]\boxed{circle's\ perimeter=\pi\cdot diameter}[/tex]
Given:
[tex]height = 8\ cm[/tex]
[tex]area\ of\ lateral\ surface=88\pi\ cm^2[/tex]
[tex]area\ of\ lateral\ surface=perimeter\times height[/tex]
[tex]88\pi=perimeter\times8[/tex]
[tex]\bf perimeter=11\pi\ cm[/tex]
[tex]circle's\ perimeter=\pi\cdot diameter[/tex]
[tex]11\pi=\pi\cdot diameter[/tex]
[tex]\bf diameter=11\ cm[/tex]
