Respuesta :
if the diameter of the cylinder is 8, then its radius is half that, or 4.
[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=7 \end{cases}\implies SA=2\pi (4)(7+4) \\\\\\ SA=8\pi (11)\implies SA=88\pi \implies \stackrel{\pi =3.14}{SA=276.32}[/tex]
The correct answer is 276.46[tex]units^2[/tex]
What is Cylinder?
- It is defined as solid geometrical figure with straight parallel sides and a circular or oval cross section
- The Surface area of cylinder is [tex]2\pi rh+2\pi r^{2}[/tex] .
How to Solve the problem?
The Problem can be solved by following steps
- Height of the cylinder given is 7m
- Diameter given is 8m So radius = 1/2 *diameter = 4m
- The value of pi given is 3.14
- We need to find the Surface area of cylinder
The surface area of cylinder is [tex]2\pi rh+2\pi r^{2}[/tex]
So , 2*3.14*4*7+2*3.14*16
=276.46
Therefore the surface area of cylinder is 276.46[tex]units^2[/tex]
Learn more about surface area of cylinder here
https://brainly.com/question/76387
#SPJ2